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A132143 Prime numbers P such that (P^k-2) is not divisible by 35(=A119691(1)) for any value of k. 1
3, 5, 7, 11, 13, 17, 19, 29, 31, 41, 43, 47, 59, 61, 71, 73, 79, 83, 89, 97, 101, 103, 109, 113, 127, 131, 139, 149, 151, 157, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 239, 241, 251, 257, 269, 271, 281, 283, 293, 307, 311, 313, 331, 337, 349, 353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes not congruent to 2, 18, 23, or 32 (mod 35). - Robert Israel, Jan 14 2019

REFERENCES

A. K. Devaraj, "Euler's Generalization of Fermat's Theorem-A Further Generalization", in ISSN #1550-3747, Proceedings of Hawaii Intl Conference on Statistics, Mathematics & Related Fields, 2004.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

G:= sort(convert(map(proc(t) if t::even then t+35 else t fi end proc, {$0..34} minus {2, 18, 23, 32}), list)):

select(isprime, [seq(seq(70*i+j, j=G), i=0..10)]); # Robert Israel, Jan 14 2019

PROG

(PARI) forprime(p=1, 353, if(#setintersect([p%35], [2, 18, 23, 32])==0, print1(p, ", "))) \\ Felix Fröhlich, Jan 14 2019

CROSSREFS

Sequence in context: A179740 A186884 A045393 * A239879 A001097 A117243

Adjacent sequences:  A132140 A132141 A132142 * A132144 A132145 A132146

KEYWORD

nonn,less

AUTHOR

A.K. Devaraj, Aug 12 2007

EXTENSIONS

Terms beyond 41 from R. J. Mathar, Mar 01 2010

STATUS

approved

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Last modified April 15 23:51 EDT 2021. Contains 343018 sequences. (Running on oeis4.)