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Number crunching :
About Stop@home project
(Message 4804)
Posted 8 Nov 2019 by nabializm Post: Извините, я не искала в кортежах гипотенузы треугольников. Спасибо за быстрый ответ. :) |
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Number crunching :
About Stop@home project
(Message 4798)
Posted 8 Nov 2019 by nabializm Post: 20-tuples прибывают хорошо, смотрите сами результаты 48-й партии. [простите за мой русский] "Треугольники Пифагора" tuples в качестве гипотенуза - эти tuples гипотенуза в треугольниках Пифагора 100, 102, 180, 222, 250, 286, 366, 400, 436, 438, 538 сумма чисел 3318 это не гипотенуза - другой 112, 138, 172, 252, 288, 316, 358, 426, 436 сумма чисел 2498 это гипотенуза - 3318 - 2498 = 820 - 820 has 2 representations as a sum of 2 squares: 820 = 6^2 + 28^2 = 12^2 + 26^2 - 820 = binomial(40 + 1, 2) is the 40th triangular number. - есть ли серии чисел кортежей, которые являются гипотенузами в треугольниках ? http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html Triples with hypotenuse=100: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 60,80,100 =20×(3,4,5) -,- 240 2400 20 48.00 480000 20 40 20 40 2 28,96,100 =4×(7,24,25) 8,6 224 1344 12 26.88 268800 68 72 4 24 Triples with hypotenuse=102: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 48,90,102 =6×(8,15,17) -,- 240 2160 18 42.35 440640 42 54 12 36 Triples with hypotenuse=112: None found Triples with hypotenuse=138: None found Triples with hypotenuse=172: None found Triples with hypotenuse=180: # a,b,h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 108,144,180 =36×(3,4,5) 12,6 432 7776 36 86.40 2799360 36 72 36 72 Triples with hypotenuse=222: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 72,210,222 =6×(12,35,37) -,- 504 7560 30 68.11 3356640 138 150 12 60 Triples with hypotenuse=250: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 150,200,250 =50×(3,4,5) 15,5 600 15000 50 120.00 7500000 50 100 50 100 2 70,240,250 =10×(7,24,25) -,- 560 8400 30 67.20 4200000 170 180 10 60 3 88,234,250 =2×(44,117,125) 13,9 572 10296 36 82.37 5148000 146 162 16 72 Triples with hypotenuse=252: None found Triples with hypotenuse=286: # a,b,h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 110,264,286 =22×(5,12,13) -,- 660 14520 44 101.54 8305440 154 176 22 88 Triples with hypotenuse=288: None found Triples with hypotenuse=316: None found Triples with hypotenuse=358: None found Triples with hypotenuse=366: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 66,360,366 =6×(11,60,61) -,- 792 11880 30 64.92 8696160 294 300 6 60 Triples with hypotenuse=400: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 240,320,400 =80×(3,4,5) -,- 960 38400 80 192.00 30720000 80 160 80 160 2 112,384,400 =16×(7,24,25) 16,12 896 21504 48 107.52 17203200 272 288 16 96 Triples with hypotenuse=426: None found Triples with hypotenuse=436: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 240,364,436 =4×(60,91,109) 20,6 1040 43680 84 200.37 38088960 124 196 72 168 Triples with hypotenuse=438: # a,b,h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 288,330,438 =6×(48,55,73) -,- 1056 47520 90 216.99 41627520 42 150 108 180 Triples with hypotenuse=538: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 138,520,538 =2×(69,260,269) 23,3 1196 35880 60 133.38 38606880 382 400 18 120 Triples with hypotenuse=3318: None found Triples with hypotenuse=2498: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 1598,1920,2498 =2×(799,960,1249) 47,17 6016 1534080 510 1228.25 7664263680 322 900 578 1020 Triples with hypotenuse=820: # a, b, h prim? m,n Peri Area inRad H alt a b h b-a h-a h-b a+b-h 1 492,656,820 =164×(3,4,5) -,- 1968 161376 164 393.60 264656640 164 328 164 328 2 180,800,820 =20×(9,40,41) -,- 1800 72000 80 175.61 118080000 620 640 20 160 3 336,748,820 =4×(84,187,205) 28,6 1904 125664 132 306.50 206088960 412 484 72 264 4 532,624,820 =4×(133,156,205) 26,12 1976 165984 168 404.84 272213760 92 288 196 336 поздравления |
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