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A296580 Odd primes p such that tau(p) is congruent to (p-1)/2 (mod p), where tau is the Ramanujan tau function (A000594). 0
191, 5399, 1259393 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(4) > 10^7.

There is no odd prime p (< 10^7) such that tau(p) is congruent to (p+1)/2 (mod p).

LINKS

Table of n, a(n) for n=1..3.

Eric Weisstein's World of Mathematics, Tau Function.

Wikipedia, Ramanujan tau function

EXAMPLE

tau(191) = 2762403350592 and 2762403350592 == 95 mod 191, so a(1) = 191.

tau(5399) = -616400667743946780600 and -616400667743946780600 == 2699 mod 5399, so a(2) = 5399.

tau(1259393) = -600367974333827988240021654527358 and -600367974333827988240021654527358 == 629696 mod 1259393, so a(3) = 1259393.

CROSSREFS

Cf. A000594, A007659, A076847 (tau(p)), A193855, A273650, A273651, A295645.

Sequence in context: A177683 A209549 A218595 * A206860 A206954 A207986

Adjacent sequences: A296577 A296578 A296579 * A296581 A296582 A296583

KEYWORD

nonn,more

AUTHOR

Seiichi Manyama, Dec 16 2017

STATUS

approved

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Last modified December 1 08:20 EST 2022. Contains 358458 sequences. (Running on oeis4.)