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A267478
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Primes which are squares (mod 55).
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1
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5, 11, 31, 59, 71, 89, 179, 181, 191, 199, 229, 251, 269, 311, 331, 379, 389, 401, 419, 421, 449, 499, 509, 521, 599, 619, 631, 641, 661, 691, 709, 719, 751, 829, 839, 859, 881, 911, 929, 971, 991, 1021, 1039, 1049, 1061, 1109, 1171, 1181, 1259, 1279, 1291, 1301, 1321, 1409, 1439, 1489, 1499
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OFFSET
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1,1
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COMMENTS
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5, 11 and all primes congruent to 1, 4, 9, 14, 16, 26, 31, 34, 36, or 49 (mod 55). - Robert Israel, Jan 15 2016
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LINKS
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Table of n, a(n) for n=1..57.
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MAPLE
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S55:= {seq(x^2 mod 55, x=0..27)}:
select(t -> member(t mod 55, S55), [seq(ithprime(i), i=1..1000)]); # Robert Israel, Jan 15 2016
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PROG
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(PARI) select(p->issquare(Mod(p, 55))&&isprime(p), [1..1500]) \\ It would be more efficient to select only among primes, replacing [1..1500] by primes([1, 1500]), in which case the isprime() condition can be omitted from the selection function. But we wanted to provide a universally valid characteristic function in the 1st argument of select(). - M. F. Hasler, Jan 15 2016
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CROSSREFS
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Cf. A106904 and adjacent sequences.
Cf. A191036.
Sequence in context: A052228 A105910 A023259 * A280081 A057470 A038580
Adjacent sequences: A267475 A267476 A267477 * A267479 A267480 A267481
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KEYWORD
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nonn
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AUTHOR
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M. F. Hasler, Jan 15 2016
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STATUS
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approved
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