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Search: id:A060320
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| A060320 |
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Subscript of smallest Fibonacci number with n distinct prime factors. |
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+0
5
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| 1, 3, 8, 15, 20, 30, 40, 70, 60, 80, 90, 140, 176, 120, 168, 180, 324, 252, 240, 378, 450, 432, 552, 360, 420, 690, 504, 880, 630, 600, 756, 720, 900, 792, 840
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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R. Knott, Fibonacci numbers with tables of F(0)-F(500)
Hisanori Mishima, Fibonacci numbers (n = 1 to 100)
Hisanori Mishima, Fibonacci numbers (n = 101 to 200)
Hisanori Mishima, Fibonacci numbers (n = 201 to 300)
Hisanori Mishima, Fibonacci numbers (n = 301 to 400)
Hisanori Mishima, Fibonacci numbers (n = 401 to 480)
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FORMULA
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a(n) = min (k : A022307(k) = n )
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EXAMPLE
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n=9: F(80)=23416728348467685=3 * 5 * 7 * 11 * 41 * 47 * 1601 * 3041 * 2161
n=25: F(690)=2^3 * 5 * 11 * 31 * 61 * 137 * 139 * 461 * 691 * 829 * 1151 * 1381 * 4831 * 5981 * 18077 * 28657 * 186301 * 324301 * 686551 * 1485571 * 4641631 * 117169733521 * 2441738887963981 * 3490125311294161 * 25013864044961447973152814604981 is the smallest Fibonacci number with 25 prime factors.
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PROGRAM
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(PARI) for(n=1, 15, s=1; while(abs(omega(fibonacci(s))-n)>0, s++); print1(s, ", "))
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CROSSREFS
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Cf. A022307, A001605, A005478, A060319, A051694.
Sequence in context: A004733 A051210 A163603 this_sequence A162372 A101711 A048982
Adjacent sequences: A060317 A060318 A060319 this_sequence A060321 A060322 A060323
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Mar 28 2001
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EXTENSIONS
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Corrected by Shyam Sunder Gupta (guptass(AT)rediffmail.com), Jul 20 2002
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