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Search: a042988 -id:a042988
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Primes congruent to 6 mod 7.
+10
12
13, 41, 83, 97, 139, 167, 181, 223, 251, 293, 307, 349, 419, 433, 461, 503, 587, 601, 643, 727, 769, 797, 811, 839, 853, 881, 937, 1021, 1049, 1063, 1091, 1217, 1231, 1259, 1301, 1399, 1427, 1483, 1511, 1553, 1567, 1609, 1637, 1693, 1721, 1777, 1847, 1861
OFFSET
1,1
COMMENTS
Conjecture: Primes p such that ((x+1)^7-1)/x has 3 irreducible factors of degree 2 over GF(p). - Federico Provvedi, Mar 31 2018
Also primes of the form 14*k + 13. - David A. Corneth, Apr 02 2018
LINKS
MAPLE
select(n->isprime(n) and modp(n, 7)=6, [$1..1900]); # Muniru A Asiru, Mar 31 2018
MATHEMATICA
Select[Range[6, 1600, 7], PrimeQ] (* Bruno Berselli, Aug 17 2012 *)
PROG
(Magma) [ p: p in PrimesUpTo(11000) | p mod 7 eq 6 ]; // Vincenzo Librandi, Aug 13 2012
(PARI) is(n)=isprime(n) && n%7==6 \\ Charles R Greathouse IV, Jul 01 2016
(GAP) Filtered([1..1900], n->IsPrime(n) and n mod 7 = 6); # Muniru A Asiru, Mar 31 2018
CROSSREFS
Cf. A042988 (complement).
KEYWORD
nonn,easy
STATUS
approved

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