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Search: id:A084278
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| A084278 |
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Numbers n which are the product of an even number of distinct primes such that Fibonacci(n) is also the product of an even number of distinct primes. |
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+0
2
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| 1, 10, 14, 22, 26, 34, 55, 74, 77, 85, 87, 93, 94, 95, 115, 123, 129, 133, 143, 146, 155, 159, 161, 177, 178, 187, 194, 205, 206, 209, 214, 215, 217, 219, 221, 237, 249, 262, 265, 278, 287, 309, 314, 321, 323, 327, 334, 339, 341, 346, 355, 358, 362, 391
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The Pocklington-Lehmer "P-1"primality test, as implemented in PARI 2.1.3, was used separately for factors > 10^8 encountered in the computation.
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EXAMPLE
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34 is in the sequence since Fibonacci(34) = 5702887, 34 = 2*17, 5702887 = 1597*3571; 55 is in the sequence since Fibonacci(55) = 139583862445, 55 = 5*11, 139583862445 = 5*89*661*474541.
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PROGRAM
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(PARI) {for(n=1, 391, if(moebius(n)==1&&moebius(fibonacci(n))==1, print1(n, ", ")))}
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CROSSREFS
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Cf. A000045, A008683, A030229, A075740.
Sequence in context: A063764 A138511 A136802 this_sequence A069207 A136197 A071620
Adjacent sequences: A084275 A084276 A084277 this_sequence A084279 A084280 A084281
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KEYWORD
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easy,nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 25 2003
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