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A049062 Composite n coprime to 5 such that Fibonacci(n) == Legendre(n,5) (mod n). 4
4181, 5474, 5777, 6479, 6721, 10877, 12958, 13201, 15251, 17302, 27071, 34561, 40948, 41998, 44099, 47519, 51841, 54839, 64079, 64681, 65471, 67861, 68251, 72831, 75077, 78089, 88198, 90061, 95038, 96049, 97921 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If n is a prime, not 5, then Fibonacci(n) == Legendre(n,5) (mod n) (see for example G. H. Hardy and E. M. Wright, Theory of Numbers).

LINKS

Table of n, a(n) for n=1..31.

Masataka Yorinaga, On a congruencial property of Fibonacci numbers (numerical experiments), Math. J. Okayama Univ. 19 (1976/77), no. 1, 5-10.

Masataka Yorinaga, On a congruencial property of Fibonacci numbers (considerations and remarks), Math. J. Okayama Univ. 19 (1976/77), no. 1, 11-17.

MATHEMATICA

Select[ Range[ 2, 100000 ], ! PrimeQ[ # ] && Mod[ #, 5 ] != 0 && Mod[ Fibonacci[ # ] - JacobiSymbol[ #, 5 ], # ] == 0 & ]

CROSSREFS

Cf. A090820.

Sequence in context: A104918 A179249 A045734 * A093372 A212424 A319168

Adjacent sequences:  A049059 A049060 A049061 * A049063 A049064 A049065

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

Yorinaga gives table up to 707000

More terms from Eric Rowland, Apr 29 2004

Definition corrected by Eric Rowland, Feb 24 2006

STATUS

approved

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Last modified March 24 11:34 EDT 2019. Contains 321448 sequences. (Running on oeis4.)