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A212377 Primes congruent to 1 mod 53. 2
107, 743, 1061, 1697, 2333, 2969, 3181, 3499, 3923, 4241, 4877, 5407, 6043, 6361, 6679, 6997, 7103, 7951, 8269, 8693, 9011, 9859, 10177, 10601, 11131, 12721, 13463, 13781, 14629, 14947, 15053, 15583, 15901, 16007, 17491, 17597, 18127, 18233, 18869, 19081 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Coincides for the first 166 terms with A059258, that is the sequence of primes p such that x^53 = 2 has no solution mod p (first divergence is at 91373).

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..1000

FORMULA

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 03 2016

MATHEMATICA

Select[Prime[Range[2200]], Mod[#, 53] == 1 &]

Select[Range[1, 20000, 53], PrimeQ]

PROG

(MAGMA) [p: p in PrimesUpTo(20000) | IsOne(p mod 53)];

(PARI) is(n)=isprime(n) && n%53==1 \\ Charles R Greathouse IV, Jul 03 2016

CROSSREFS

Cf. A000040, A059258, A142532-A142582.

Sequence in context: A069759 A183057 A059258 * A113932 A250154 A250155

Adjacent sequences:  A212374 A212375 A212376 * A212378 A212379 A212380

KEYWORD

nonn,easy

AUTHOR

Bruno Berselli, Sep 20 2012

STATUS

approved

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Last modified May 16 21:28 EDT 2021. Contains 343951 sequences. (Running on oeis4.)