cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-16 of 16 results.

A114817 Indices of Fibonacci numbers with 8 prime factors when counted with multiplicity.

Original entry on oeis.org

54, 78, 102, 128, 130, 135, 147, 154, 170, 171, 182, 217, 231, 236, 238, 279, 290, 309, 316, 338, 355, 374, 436, 442, 452, 471, 481, 524, 538, 548, 553, 649, 694, 725, 796, 801, 818, 833, 838, 847, 849, 851, 886, 889, 922, 923, 926, 939, 949, 958, 963, 965
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=54 because 54th Fibonacci number (i.e., 86267571272) consists of 8 prime factors (i.e., 2*2*2*17*19*53*109*5779).

Links

Crossrefs

Column k=8 of A303215.

Programs

  • Mathematica
    t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 8, AppendTo[t, n]], {n, 2, 200}]; t (* T. D. Noe, Mar 14 2014 *)
  • PARI
    n=1;while(n<320,if(bigomega(fibonacci(n))==8,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006

A114818 Indices of Fibonacci numbers with 9 prime factors when counted with multiplicity.

Original entry on oeis.org

24, 80, 88, 110, 112, 184, 186, 189, 196, 225, 232, 243, 246, 248, 255, 268, 272, 275, 284, 286, 295, 328, 333, 357, 370, 412, 418, 425, 435, 477, 539, 556, 559, 561, 575, 591, 602, 603, 604, 625, 628, 629, 639, 689, 692, 695, 712, 717, 722, 747, 763, 764
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=24 because the 54th Fibonacci number (i.e., 46368) consists of 9 prime factors (i.e., 2*2*2*2*2*3*3*7*23).

Links

Crossrefs

Column k=9 of A303215.

Programs

  • Mathematica
    t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 9, AppendTo[t, n]], {n, 2, 200}]; t (* T. D. Noe, Mar 14 2014 *)
Position[Table[If[PrimeOmega[Fibonacci[n]]==9,1,0],{n,800}],1]//Flatten (* Harvey P. Dale, Feb 09 2025 *)
  • PARI
    n=1;while(n<330,if(bigomega(fibonacci(n))==9,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006

A114819 Indices of Fibonacci numbers with 10 prime factors when counted with multiplicity.

Original entry on oeis.org

36, 100, 114, 165, 174, 256, 266, 273, 282, 296, 304, 322, 325, 366, 369, 376, 406, 424, 428, 429, 484, 494, 506, 574, 578, 589, 633, 637, 642, 646, 652, 658, 663, 664, 668, 669, 670, 687, 705, 716, 724, 742, 754, 779, 782, 807, 845, 892, 909, 921, 946, 956
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=36 because the 36th Fibonacci number (i.e., 14930352) consists of 10 prime factors (i.e., 2*2*2*2*3*3*3*17*19*107).

Links

Crossrefs

Column k=10 of A303215.

Programs

  • Mathematica
    t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 10, AppendTo[t, n]], {n, 2, 200}]; t (* T. D. Noe, Mar 14 2014 *)
Select[Range[1000],PrimeOmega[Fibonacci[#]]==10&] (* Harvey P. Dale, Jul 24 2021 *)
  • PARI
    n=1;while(n<305,if(bigomega(fibonacci(n))==10,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006

A114820 Indices of Fibonacci numbers with 11 prime factors when counted with multiplicity.

Original entry on oeis.org

138, 140, 160, 190, 208, 222, 230, 250, 261, 285, 310, 318, 345, 351, 387, 388, 399, 402, 426, 469, 470, 483, 485, 488, 498, 507, 508, 518, 531, 534, 549, 568, 596, 598, 632, 656, 671, 678, 686, 688, 703, 715, 786, 788, 806, 808, 844, 872, 873, 874, 902
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=138 because the 138th Fibonacci number (i.e., 30960598847965113057878492344) consists of 11 prime factors (i.e., 2*2*2*137*139*461*691*829*18077*28657*1485571).

Links

Crossrefs

Column k=11 of A303215.

Programs

  • Mathematica
    Select[Range[1000],PrimeOmega[Fibonacci[#]]==11&] (* Harvey P. Dale, Jan 09 2022 *)
  • PARI
    n=1;while(n<320,if(bigomega(fibonacci(n))==11,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006

A114821 Indices of Fibonacci numbers with 12 prime factors when counted with multiplicity.

Original entry on oeis.org

48, 60, 90, 126, 176, 258, 297, 315, 375, 385, 410, 430, 441, 459, 474, 475, 496, 555, 609, 621, 627, 638, 682, 710, 711, 729, 734, 759, 805, 814, 826, 854, 875, 897, 903, 906, 908, 925, 932, 935, 981, 987, 994, 1022, 1067, 1089, 1105, 1244, 1246, 1251, 1265, 1285, 1341, 1348
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=48 because the 48th Fibonacci number (i.e., 4807526976) consists of 12 prime factors (i.e., 2*2*2*2*2*2*3*3*7*23*47*1103).

Links

Crossrefs

Column k=12 of A303215.

Programs

  • PARI
    n=1;while(n<320,if(bigomega(fibonacci(n))==12,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006
More terms from Amiram Eldar, Oct 14 2019

A114822 Indices of Fibonacci numbers with 13 prime factors when counted with multiplicity.

Original entry on oeis.org

84, 132, 156, 162, 224, 234, 260, 354, 364, 368, 405, 434, 438, 455, 472, 512, 536, 584, 585, 595, 610, 615, 645, 693, 741, 775, 777, 822, 830, 834, 867, 904, 931, 957, 962, 1001, 1025, 1045, 1066, 1070, 1102, 1106, 1108, 1146, 1147, 1158, 1209, 1268, 1309, 1310, 1317, 1334, 1335, 1388
Offset: 1

Views

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

Examples

			a(1)=84 because the 84th Fibonacci number (i.e., 160500643816367088) consists of 13 prime factors (i.e., 2*2*2*2*3*3*13*29*83*211*281*421*1427).

Links

Crossrefs

Column k=13 of A303215.

Programs

  • PARI
    n=1;while(n<360,if(bigomega(fibonacci(n))==13,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006
More terms from Amiram Eldar, Oct 14 2019
Previous Showing 11-16 of 16 results.

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