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Powerful Sums
| Description | Submit An Entry | Standings | Final Report |
The Powerful Sums contest has ended.
Congratulations to our winners:
| Position | Winner | Prize Art of Play Digital Gift Card in the Amount of … |
|
|---|---|---|---|
| 1st | Spencer / Spencer | Illinois / North Carolina, USA | $500 |
| 2nd | Tom Sirgedas | Okemos, Michigan, United States | $250 |
| 3rd | Bert Dobbelaere | Melsele, Belgium | $100 |
| 4th | Paulsen / Paulsen | Germany / France | $50 |
| 5th | Jarek Wroblewski | Wroclaw, Poland | $25 |
| 6th | Lucien Pech | Zürich, Switzerland | $25 |
| 7th | Heiko Schwartz | Augsburg, Germany | $25 |
| 8th | Kalachev Gleb | Moscow, Russia | $25 |
| 9th | Niels Gasper | Waltrop, Germany | $25 |
| 10th | Kay Schönberger | Koblenz, Germany | $25 |
Click here to show (or hide) the contestants who submitted the best solution for each problem.
Problems for which the best solution was found during the first 48 hours of the contest are omitted.
| Problem | Score | Solver | Date Achieved | |
|---|---|---|---|---|
| n = 7 | 11.82 | David Spencer | Evanston, Illinois, United States | 16 Feb 2026 14:36 |
| n = 9 | 34.14 | David Spencer | Evanston, Illinois, United States | 2 Feb 2026 01:27 |
| n = 11 | 68.42 | Kay Schönberger | Koblenz, Germany | 10 Feb 2026 18:48 |
| n = 13 | 104.04 | Kay Schönberger | Koblenz, Germany | 10 Feb 2026 14:06 |
| n = 15 | 147.53 | Roland Postle | Manchester, United Kingdom | 20 Feb 2026 21:12 |
| n = 17 | 197.16 | Roland Postle | Manchester, United Kingdom | 31 Jan 2026 13:11 |
| n = 19 | 248.69 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 06:00 |
| n = 21 | 308.84 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 03:30 |
| n = 23 | 383.20 | Kalachev Gleb | Moscow, Russia | 20 Feb 2026 02:19 |
| n = 25 | 467.64 | Kalachev Gleb | Moscow, Russia | 20 Feb 2026 02:27 |
| n = 27 | 556.71 | Kalachev Gleb | Moscow, Russia | 10 Dec 2025 19:12 |
| n = 29 | 653.59 | Tom Sirgedas | Okemos, Michigan, United States | 10 Feb 2026 17:20 |
| n = 31 | 738.50 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 05:47 |
| n = 33 | 852.69 | Kalachev Gleb | Moscow, Russia | 3 Dec 2025 02:42 |
| n = 35 | 961.61 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 05:49 |
| n = 37 | 1100.92 | Roland Postle | Manchester, United Kingdom | 15 Feb 2026 11:58 |
| n = 39 | 1230.71 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 01:15 |
| n = 41 | 1373.95 | Jarek Wroblewski | Wroclaw, Poland | 1 Jan 2026 11:41 |
| n = 43 | 1519.51 | Hans-Werner Paulsen | Miesbach, Germany | 24 Jan 2026 10:50 |
| n = 45 | 1665.76 | Kalachev Gleb | Moscow, Russia | 9 Dec 2025 21:31 |
| n = 47 | 1813.41 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 06:13 |
| n = 49 | 1989.41 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 04:58 |
| n = 51 | 2168.69 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 05:46 |
| n = 53 | 2360.37 | Kalachev Gleb | Moscow, Russia | 2 Dec 2025 05:18 |
| n = 55 | 2556.94 | Jarek Wroblewski | Wroclaw, Poland | 1 Jan 2026 16:05 |
Click here to show (or hide) the best solutions received for each problem in the contest.
| Problem | Score | Solution |
|---|---|---|
| n = 7 | 11.82 |
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1070698, 1104275, -1104965, -1422698, 1422849, 1445781, -1469784
|
| n = 9 | 34.14 |
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107759354, 121072479, -125182832, 140254816, 146196851, -154957291, -167953986, -193344483, 198749746
|
| n = 11 | 68.42 |
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-10071111683, 10071111684, 10194305230, 10398574906, -10971516762, -21639645636, 21639645637, 21639645665, -21639645667, -21639645695, 21639645696
|
| n = 13 | 104.04 |
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-1038070877068, 1038070877069, 1038070877071, -1038070877073, -1038070877075, 1038070877076, 1117702449085, 1117702488094, -1178914647468, 1433337373031, -1433337373032, -1433337373184, 1433337373185
|
| n = 15 | 147.53 |
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106981465023842, -106981465023911, -106981465023942, 106981465024086, 106981465024195, -106981465024339, -106981465024370, 106981465024439, 129589792811524, 129589792812548, -131184827341502, 131184827341504, 131184827341522, -131184827341524, -135718628389588
|
| n = 17 | 197.16 |
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10496702363813808, 10496702363813918, -10933533241182349, -11447399234924483, 11447399234924526, 11447399234924532, -11447399234924589, -11447399234924876, 11447399234924933, 11447399234924939, -11447399234924982, -18955901030832266, 18955901030833874, 18955901030834632, -18955901030837111, -18955901030840608, 18955901030841479
|
| n = 19 | 248.69 |
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1042005155417948160, 6252030932507688555, -6252030932507688564, -6252030932507688681, -6252030932507688690, 6252030932507688699, 6252030932507688744, 6252030932507688771, 6252030932507688825, 6252030932507688951, -6252030932507688969, -6252030932507689095, -6252030932507689149, -6252030932507689176, -6252030932507689221, 6252030932507689230, 6252030932507689239, 6252030932507689356, -6252030932507689365
|
| n = 21 | 308.84 |
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100538255534991121260, 703767788744937848773, -703767788744937848774, 703767788744937848777, -703767788744937848778, -703767788744937848779, 703767788744937848780, -703767788744937848786, 703767788744937848793, 703767788744937848799, 703767788744937848805, -703767788744937848835, -703767788744937848841, -703767788744937848847, 703767788744937848854, -703767788744937848860, 703767788744937848861, 703767788744937848862, -703767788744937848863, 703767788744937848866, -703767788744937848867
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| n = 23 | 383.20 |
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-10791106094089047015240, 75537742658623329106604, -75537742658623329106606, -75537742658623329106614, 75537742658623329106624, 75537742658623329106626, -75537742658623329106646, -75537742658623329106650, -75537742658623329106660, -75537742658623329106664, -75537742658623329106670, 75537742658623329106676, -75537742658623329106684, 75537742658623329106690, 75537742658623329106696, 75537742658623329106700, 75537742658623329106710, 75537742658623329106714, -75537742658623329106734, -75537742658623329106736, 75537742658623329106746, 75537742658623329106754, -75537742658623329106756
|
| n = 25 | 467.64 |
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-1149487388283398486406000, -8046411717983789404841926, 8046411717983789404841934, 8046411717983789404841936, 8046411717983789404841950, -8046411717983789404841954, -8046411717983789404841958, -8046411717983789404841966, -8046411717983789404841972, -8046411717983789404841974, -8046411717983789404841978, -8046411717983789404841980, -8046411717983789404841992, 8046411717983789404842008, 8046411717983789404842020, 8046411717983789404842022, 8046411717983789404842026, 8046411717983789404842028, 8046411717983789404842034, 8046411717983789404842042, 8046411717983789404842046, -8046411717983789404842050, -8046411717983789404842064, -8046411717983789404842066, 8046411717983789404842074
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| n = 27 | 556.71 |
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114243054149253715621576704, -456972216597014862486305024, 456972216597014862486308608, 913944433194029724972613625, -913944433194029724972613639, 990902548179242257172689361, -990902548179242257172689370, -990902548179242257172689379, 990902548179242257172689397, 990902548179242257172689433, -990902548179242257172689451, -990902548179242257172689487, 990902548179242257172689505, 990902548179242257172689514, -990902548179242257172689523, 997155012858974701852516557, -997155012858974701852516561, -997155012858974701852516565, 997155012858974701852516577, 997155012858974701852516581, -997155012858974701852516597, -997155012858974701852516605, 997155012858974701852516621, 997155012858974701852516625, -997155012858974701852516637, -997155012858974701852516641, 997155012858974701852516645
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| n = 29 | 653.59 |
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-10046240722372008721672264460, -10046240722372008721672598897, -10046240722372008724171629491, 10046240722372008724171629502, 10226913172702713226063898555, -10226913172702713226063898561, -10226913172702713226063898579, 10226913172702713226063898597, 10226913172702713226063898609, -10226913172702713226063898627, -10226913172702713226063898645, 10226913172702713226063898651, 10289254867601756715517480462, -11473823556843236736037304273, 11473823556843236736037304274, 11473823556843236736037304276, -11473823556843236736037304279, -11473823556843236736037304281, 11473823556843236736037304285, 11473823556843236736037304287, -11473823556843236736037304290, -11473823556843236736037304292, 11473823556843236736037304293, 12010200430808385662949218489, -12010200430808385662949219002, -12010200430808385662949222593, 12010200430808385662949223619, 12010200430808385662949227210, -12010200430808385662949227723
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| n = 31 | 738.50 |
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1006156150576502401042215435360, 1665668569477223369260105672638, -1665668569477223369260105672639, -1665668569477223369260105672640, 1665668569477223369260105672643, 1665668569477223369260105672644, -1665668569477223369260105672648, -1665668569477223369260105672650, 1665668569477223369260105672654, 1665668569477223369260105672655, -1665668569477223369260105672658, -1665668569477223369260105672659, 1665668569477223369260105672660, 7043093054035516807295508046440, -7043093054035516807295508046464, -7043093054035516807295508046776, -7043093054035516807295508046800, 7043093054035516807295508046824, 7043093054035516807295508046944, 7043093054035516807295508047016, 7043093054035516807295508047160, 7043093054035516807295508047496, -7043093054035516807295508047544, -7043093054035516807295508047880, -7043093054035516807295508048024, -7043093054035516807295508048096, -7043093054035516807295508048216, 7043093054035516807295508048240, 7043093054035516807295508048264, 7043093054035516807295508048576, -7043093054035516807295508048600
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| n = 33 | 852.69 |
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100591272570136292465486651227080, 182532837427145474681286893977414, -182532837427145474681286893977415, -182532837427145474681286893977416, 182532837427145474681286893977419, 182532837427145474681286893977420, -182532837427145474681286893977424, -182532837427145474681286893977426, 182532837427145474681286893977430, 182532837427145474681286893977431, -182532837427145474681286893977434, -182532837427145474681286893977435, 182532837427145474681286893977436, 704138907990954047258406558587628, -704138907990954047258406558587674, -704138907990954047258406558588180, 704138907990954047258406558588364, -704138907990954047258406558588410, 704138907990954047258406558588594, 704138907990954047258406558588686, 704138907990954047258406558588870, 704138907990954047258406558589192, -704138907990954047258406558589330, 704138907990954047258406558589790, -704138907990954047258406558589928, -704138907990954047258406558590250, -704138907990954047258406558590434, -704138907990954047258406558590526, 704138907990954047258406558590710, -704138907990954047258406558590756, 704138907990954047258406558590940, 704138907990954047258406558591446, -704138907990954047258406558591492
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| n = 35 | 961.61 |
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10648265041917126972572306925158400, 85186120335337015780578455401267155, -85186120335337015780578455401267156, -85186120335337015780578455401267169, -85186120335337015780578455401267170, 85186120335337015780578455401267171, 85186120335337015780578455401267176, 85186120335337015780578455401267179, 85186120335337015780578455401267185, 85186120335337015780578455401267199, -85186120335337015780578455401267201, -85186120335337015780578455401267215, -85186120335337015780578455401267221, -85186120335337015780578455401267224, -85186120335337015780578455401267229, 85186120335337015780578455401267230, 85186120335337015780578455401267231, 85186120335337015780578455401267244, -85186120335337015780578455401267245, -85578985605322124820185590594005110, 85578985605322124820185590594005112, 85578985605322124820185590594005116, -85578985605322124820185590594005122, -85578985605322124820185590594005126, 85578985605322124820185590594005132, 85578985605322124820185590594005144, -85578985605322124820185590594005146, 85578985605322124820185590594005170, -85578985605322124820185590594005172, -85578985605322124820185590594005184, 85578985605322124820185590594005190, 85578985605322124820185590594005194, -85578985605322124820185590594005200, -85578985605322124820185590594005204, 85578985605322124820185590594005206
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| n = 37 | 1100.92 |
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-1000468001820516511633829570990683243, -1000468001820516511633829570990686265, -1018202636329101527212061109979526303, 1018202636329101527212061109979526317, 1018202636329101527212061109979526319, -1018202636329101527212061109979526333, 1019387136273295369773924270750594483, 1155754101110679063020801221827498871, -1155754101110679063020801221827498887, -1155754101110679063020801221827498951, 1155754101110679063020801221827498983, 1155754101110679063020801221827499207, -1155754101110679063020801221827499255, -1155754101110679063020801221827499383, 1155754101110679063020801221827499431, 1155754101110679063020801221827499655, -1155754101110679063020801221827499687, -1155754101110679063020801221827499751, 1155754101110679063020801221827499767, -1850178813788646639351967924273587637, 1850178813788646639351967924273587787, 1850178813788646639351967924273588297, -1850178813788646639351967924273588927, -1850178813788646639351967924273589017, 1850178813788646639351967924273589917, 1850178813788646639351967924273590157, -1850178813788646639351967924273590757, -1850178813788646639351967924273591147, 1850178813788646639351967924273591327, 4047349522160627887788730370261074283, -4047349522160627887788730370261074311, -4047349522160627887788730370261074761, 4047349522160627887788730370261074845, 4047349522160627887788730370261075267, -4047349522160627887788730370261075351, -4047349522160627887788730370261075801, 4047349522160627887788730370261075829
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| n = 39 | 1230.71 |
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100767138294370063019577255801695906245, -100767138294370063019577255801695906246, -100767138294370063019577255801695906249, 100767138294370063019577255801695906252, 100767138294370063019577255801695906254, -100767138294370063019577255801695906257, -100767138294370063019577255801695906260, 100767138294370063019577255801695906261, 102229674238728181045445520639430787260, -102229674238728181045445520639430787261, -102229674238728181045445520639430787262, 102229674238728181045445520639430787265, 102229674238728181045445520639430787266, -102229674238728181045445520639430787270, -102229674238728181045445520639430787272, 102229674238728181045445520639430787276, 102229674238728181045445520639430787277, -102229674238728181045445520639430787280, -102229674238728181045445520639430787281, 102229674238728181045445520639430787282, 102643588057425803946442583388757893985, -102643588057425803946442583388757893986, -102643588057425803946442583388757893987, 102643588057425803946442583388757893989, 102643588057425803946442583388757893993, -102643588057425803946442583388757893995, -102643588057425803946442583388757893999, 102643588057425803946442583388757894001, 102643588057425803946442583388757894002, -102643588057425803946442583388757894003, -106919776910949170526699980411300216832, 855358215287593364213599843290401734590, -855358215287593364213599843290401734601, -855358215287593364213599843290401734612, -855358215287593364213599843290401734623, 855358215287593364213599843290401734689, 855358215287593364213599843290401734700, 855358215287593364213599843290401734711, -855358215287593364213599843290401734722
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| n = 41 | 1373.95 |
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10007217621764827072445350014462640258108, -10007217621764827072445350014462640258113, -10007217621764827072445350014462640258128, 10007217621764827072445350014462640258133, 10007217621764827072463063385804921514664, -10007217621764827072463063385804921514669, -10007217621764827072463063385804921514684, 10007217621764827072463063385804921514689, 10172385948469599410793750153117260842492, -10172385948469599410793750153117260842494, -10172385948469599410793750153117260842506, 10172385948469599410793750153117260842515, 10172385948469599410793750153117260842520, -10172385948469599410793750153117260842531, -10172385948469599410793750153117260842555, 10172385948469599410793750153117260842566, 10172385948469599410793750153117260842571, -10172385948469599410793750153117260842580, -10172385948469599410793750153117260842592, 10172385948469599410793750153117260842594, -10278098421651398042467788919225305267087, -10278098421651398042467788919225305267103, 10453337373106998431882765863978076044383, -12376489668049966526767760227677086454502, 12376489668049966526767760227677086454569, 12376489668049966526767760227677086456377, -12376489668049966526767760227677086456494, -12376489668049966526767760227677086461469, 12376489668049966526767760227677086461586, 12376489668049966526767760227677086463394, -12376489668049966526767760227677086463461, -15247806541253891334793500297874659409685, 15247806541253891334793500297874659409688, 15247806541253891334793500297874659409689, -15247806541253891334793500297874659409693, -15247806541253891334793500297874659409719, 15247806541253891334793500297874659409721, 15247806541253891334793500297874659409747, -15247806541253891334793500297874659409751, -15247806541253891334793500297874659409752, 15247806541253891334793500297874659409755
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| n = 43 | 1519.51 |
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|
| n = 45 | 1665.76 |
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|
| n = 47 | 1813.41 |
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|
| n = 49 | 1989.41 |
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|
| n = 51 | 2168.69 |
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|
| n = 53 | 2360.37 |
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|
| n = 55 | 2556.94 |
Click here to toggle the visibility of this solution
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| No noteworthy solutions have been received since the contest ended. |