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A342063
Primes p such that p^8 - 1 has fewer than 384 divisors.
2
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 61, 71
OFFSET
1,1
COMMENTS
For all primes p > 71, p^8 - 1 has at least A309906(8)=384 divisors.
EXAMPLE
p =
n a(n) factorization of p^8 - 1 a(n)
-- ---- ------------------------------------- ----
1 2 3 * 5 * 17 8
2 3 2^5 * 5 * 41 24
3 5 2^5 * 3 * 13 * 313 48
4 7 2^6 * 3 * 5^2 * 1201 84
5 11 2^5 * 3 * 5 * 61 * 7321 96
6 13 2^5 * 3 * 5 * 7 * 17 * 14281 192
7 17 2^7 * 3^2 * 5 * 29 * 41761 192
8 19 2^5 * 3^2 * 5 * 17 * 181 * 3833 288
9 23 2^6 * 3 * 5 * 11 * 53 * 139921 224
10 29 2^5 * 3 * 5 * 7 * 421 * 353641 192
11 61 2^5 * 3 * 5 * 31 * 1861 * 6922921 192
12 71 2^6 * 3^2 * 5 * 7 * 2521 * 12705841 336
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Jon E. Schoenfield, Feb 27 2021
STATUS
approved