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A134671
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Primes of the form 2m*691 - 1.
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2
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Eric Weisstein Link to a section of The World of Mathematics. Ramanujan's Tau Function.
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EXAMPLE
| a(1) = 1381 = 2*691 - 1 is a first prime of the form 2m*691 - 1.
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MATHEMATICA
| Select[ 2*691*Range[ 1000 ] - 1, PrimeQ[ # ] & ]
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CROSSREFS
| Cf. A046694 = Ramanujan tau numbers mod 691 = sum of 11-th power of divisors mod 691. Cf. A121733 = Numbers n such that two consecutive Ramanujan tau numbers are congruent mod 691. Cf. A121734 = Ramanujan tau numbers such that A000594[n] == A000594[n+1] mod 691. Cf. A121742 = Numbers n such that three consecutive Ramanujan tau numbers are congruent mod 691. Cf. A121743 = Values of the Ramanujan tau triplets 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 atarting with A046694(k).
Sequence in context: A139667 A031796 A020406 * A161192 A134670 A092128
Adjacent sequences: A134668 A134669 A134670 * A134672 A134673 A134674
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 05 2007
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