The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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