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A077317 a(n) is the n-th prime == 1 (mod n). +0
5
2, 5, 19, 29, 71, 43, 211, 193, 271, 191, 661, 277, 937, 463, 691, 769, 1531, 613, 2357, 1021, 1723, 1409, 3313, 1609, 3701, 2029, 3187, 2437, 6961, 1741, 7193, 3617, 4951, 3877, 7001, 3169, 10657, 6271, 7879, 5521, 13613, 3823, 15137, 7349, 9091, 7499 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) is the n-th prime in the arithmetic progression with first term 1 and common difference n.

Main diagonal of A077316.

EXAMPLE

a(5) =71, the fifth prime in the sequence 1,6,11,16,21,26,31,36,41,46,51,56,61,66,71,...

MAPLE

a:=proc(n) local N, B, j: N:=[seq(n*x+1, x=0..500)]: B:={}: for j from 1 to nops(N) do if isprime(N[j])=true then B:=B union {N[j]} else fi od: B[n]: end: seq(a(n), n=1..55); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Sep 03 2005

CROSSREFS

Cf. A034694, A077316, A077318, A077319, A093871.

Sequence in context: A127437 A045368 A027714 this_sequence A092946 A090700 A105889

Adjacent sequences: A077314 A077315 A077316 this_sequence A077318 A077319 A077320

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 04 2002, Jul 23 2005 (submitted incorrectly on two separate occasions; each time it has had to be corrected)

EXTENSIONS

Edited, corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Sep 03 2005 and by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 29 2006

Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 23 2008 at the suggestion of R. J. Mathar

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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