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Highly composite numbers

Based on Highly composite numbers aka "anti-primes numbers" content: Highly composite numbers. d(n) is the number of divisors of n, increases to a record.  devices: Huawei_P, Samsung_T started: 31/08/2017 15:57:01 status: RUNNING -------------------------------- n d(n) 1 1 2 2 4 3 6 4 12 6 24 8 36 9 48 10 60 12 120 16 180 18 240 20 360 24 720 30 840 32 1260 36 1680 40 2520 48 5040 60 7560 64 10080 72 15120 80 20160 84 25200 90 27720 96 45360 100 50400 108 55440 120 83160 128 110880 144 166320 160 221760 168 277200 180 332640 192 498960 200 554400 216

Fermat numbers

Based on Fermat numbers content: Fermat numbers, F(n) = 2^(2^n) + 1, here for n=0 to 15 devices: Huawei_P started: 27/08/2017 16:17:01 status: ENDED 27/08/2017 16:17:05 -------------------------------- F0=3 F1=5 F2=17 F3=257 F4=65537 F5=4294967297 F6=18446744073709551617 F7=340282366920938463463374607431768211457 F8=115792089237316195423570985008687907853269984665640564039457584007913129639937 F9=13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084097 F10=179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137217 F11=3231700607131100730071487668866995196044410266971548403213034542752465513886789089319720141152291346...

Narcissistic numbers

Based on Narcissistic number content: Armstrong (or Plus Perfect, or narcissistic) numbers, n-digit numbers equal to sum of n-th powers of their digits (a finite sequence, the last term being devices: Huawei_W started: 18/08/2017 21:53 status: RUNNING -------------------------------- ord n 1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 153 12 370 13 371 14 407 15 1634 16 8208 17 9474 18 54748 19 92727 20 93084 21 548834 22 1741725 23 4210818 24 9800817 25 9926315 26 24678050 27 24678051 28 88593477 29 146511208 30 472335975 31 534494836 32 912985153 33 4679307774

Collatz sequence longest paths

Based on Collatz Conjecture aka 3x+1 problem content: these values (n) for the starting value  set new records or match the record  devices: Samsung_P started: 18/08/2017 21:53 status: RUNNING -------------------------------- ord n length(n) 1 2 1 2 3 7 3 6 8 4 7 16 5 9 19 6 18 20 7 19 20 8 25 23 9 27 111 10 54 112 11 55 112 12 73 115 13 97 118 14 129 121 15 171 124 16 231 127 17 235 127 18 313 130 19 327 143 20 649 144 21 654 144 22 655 144 23 667 144 24 703 170 25 871 178 26 1161 181 27 2223 182 28 2322 182 29 2323 182 30 2463 208 31 2919 216 32 3711 237 33 6171 261 34 10971 267 35 13255 275 36 17647 278 37 17673 278 38 23529 281 39 26623 307 40 34239 310 41 35497 310 42 35655 323 43 52527 339 44 77031 350 45 106239 353 46 142587 374 47 156159 382 48 216367 385 49 230631 ...

Devices used

Device used for calculations ID:        Huawei_B MODEL:     Huawei G510 CORES:     2 PROCESSOR: 1.2 RAM:       0.512 ID:        Huawei_W MODEL:     Huawei G510 CORES:     2 PROCESSOR: 1.2 RAM:       0.512 ID:        Samsung_P MODEL:     Samsung Galaxy neo3 CORES:     4 PROCESSOR: 1.4 RAM:       1.5 ID:        Samsung_T* MODEL:     Samsung Galaxy Tab 4 8 CORES:     4 PROCESSOR: 1.2 RAM:       1.5 ID:        Huawei_P* MODEL:     Huawei P9 lite CORES:     8 PROCESSOR: 1.5 RAM:       3 *rarery used