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A341667 Primes p such that p^6 - 1 has fewer than 384 divisors. 1
2, 3, 5, 7, 11, 13, 17, 19, 23, 41, 53, 71, 73, 167 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
For all primes p > 167, p^6 - 1 has at least 384 divisors.
LINKS
EXAMPLE
p =
n a(n) factorization of p^6 - 1 tau(p^6 - 1)
-- ---- --------------------------------- ------------
1 2 3^2 * 7 6
2 3 2^3 * 7 * 13 16
3 5 2^3 * 3^2 * 7 * 31 48
4 7 2^4 * 3^2 * 19 * 43 60
5 11 2^3 * 3^2 * 5 * 7 * 19 * 37 192
6 13 2^3 * 3^2 * 7 * 61 * 157 96
7 17 2^5 * 3^3 * 7 * 13 * 307 192
8 19 2^3 * 3^3 * 5 * 7^3 * 127 256
9 23 2^4 * 3^2 * 7 * 11 * 13^2 * 79 360
10 41 2^4 * 3^2 * 5 * 7 * 547 * 1723 240
11 53 2^3 * 3^4 * 7 * 13 * 409 * 919 320
12 71 2^4 * 3^3 * 5 * 7 * 1657 * 5113 320
13 73 2^4 * 3^3 * 7 * 37 * 751 * 1801 320
14 167 2^4 * 3^2 * 7 * 83 * 9241 * 28057 240
MATHEMATICA
Select[Range[200], PrimeQ[#] && DivisorSigma[0, #^6 - 1] < 384 &] (* Amiram Eldar, Feb 27 2021 *)
CROSSREFS
Sequence in context: A050264 A075239 A255073 * A330007 A008792 A359497
KEYWORD
nonn,fini,full
AUTHOR
Jon E. Schoenfield, Feb 26 2021
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)