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A269703
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Numbers n such that prime(n) == 1 (mod 7).
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2
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10, 14, 20, 30, 31, 45, 47, 52, 60, 68, 75, 82, 87, 90, 94, 101, 113, 115, 120, 122, 126, 132, 134, 144, 153, 156, 162, 163, 169, 177, 183, 192, 209, 213, 220, 226, 233, 239, 250, 251, 262, 267, 269, 288, 295, 304, 306, 315, 320, 324, 330, 337, 342, 344, 346
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OFFSET
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1,1
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COMMENTS
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Associated primes are in A004619.
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LINKS
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Table of n, a(n) for n=1..55.
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FORMULA
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a(n) ~ 7n. - Charles R Greathouse IV, Sep 20 2016
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EXAMPLE
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a(1) = 10 because prime(10) = 29 and 29 == 1 (mod 7).
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MATHEMATICA
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Select[Range[500], Mod[Prime[#], 7] == 1 &]
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PROG
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(MAGMA) [n: n in [1..500] | NthPrime(n) mod 7 eq 1];
(PARI) lista(nn) = for(n=1, nn, if(Mod(prime(n), 7)==1, print1(n, ", "))); \\ Altug Alkan, Mar 04 2016
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CROSSREFS
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Cf. A004619.
Sequences of numbers n such that prime(n) == 1 (mod k): A091178 (k=3,6), A080147 (k=4), A049511 (k=5,10), this sequence (k=7), A269704 (k=8), A269705 (k=9).
Sequence in context: A272375 A246473 A063920 * A057487 A073486 A073487
Adjacent sequences: A269700 A269701 A269702 * A269704 A269705 A269706
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi, Mar 04 2016
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STATUS
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approved
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