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A134671
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Primes of the form 2m*691 - 1.
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3
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1381, 5527, 8291, 12437, 22111, 29021, 30403, 34549, 37313, 42841, 51133, 53897, 58043, 62189, 70481, 92593, 96739, 105031, 120233, 134053, 145109, 167221, 179659, 182423, 186569, 187951, 192097, 194861, 212827, 216973, 233557, 281927
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OFFSET
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1,1
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COMMENTS
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Note that all zeros of A046694(n) have the indices equal to the terms of all arithmetic progressions of the type k*p, where primes p belong to a(n). Thus A046694(k*a(n)) = 0 for all integer k > 0.
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LINKS
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EXAMPLE
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a(1) = 1381 = 2*691 - 1 is a first prime of the form 2m*691 - 1.
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MATHEMATICA
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Select[ 2*691*Range[ 1000 ] - 1, PrimeQ[ # ] & ]
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PROG
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(Magma) [a: n in [0..250] | IsPrime(a) where a is 1382*n-1]; // Vincenzo Librandi, Nov 07 2014
(PARI) list(lim)=my(v=List()); forprimestep(p=1381, lim, Mod(-1, 1382), listput(v, p)); Vec(v) \\ Charles R Greathouse IV, Sep 09 2022
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CROSSREFS
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Cf. A046694 = Ramanujan tau numbers mod 691 = sum of 11th power of divisors mod 691.
Cf. A121733 = Numbers n such that two consecutive Ramanujan tau numbers are congruent mod 691.
Cf. A121742 = Numbers n such that three consecutive Ramanujan tau numbers are congruent mod 691.
Cf. A121743 = Values of the Ramanujan tau triples mod 691 such that three consecutive Ramanujan tau numbers are congruent mod 691.
Cf. A134670 = Least number k such that A046694 has a string of n consecutive zeros starting with A046694(k).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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