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A162336 Primes p of the form p=r+(r+1)/2 (where r is a prime number). +0
1
5, 11, 17, 29, 47, 71, 89, 101, 107, 191, 197, 227, 251, 269, 317, 359, 461, 467, 521, 569, 647, 659, 701, 719, 821, 857, 881, 911, 929, 947, 971, 1091, 1109, 1181, 1217, 1259, 1289, 1361, 1367, 1451, 1487, 1559, 1637, 1847, 1889, 1979, 2099, 2141, 2207 (list; graph; listen)
OFFSET

1,1

COMMENT

Or primes of the form sum_{x=1..nth prime}1-(-1)^x*x. - Juri-Stepan Gerasimov, Jul 14 2009

EXAMPLE

3+2=5, 7+4=11, 11+6=17, 19+10=29, 31+16=47, 47+24=71,.. r:3,7,11,19,31,47,59,67,71,127,131,151,167,179,211,239,307,311,..A158709

MATHEMATICA

lst={}; Do[r=Prime[n]; p=r+(r+1)/2; If[PrimeQ[p], AppendTo[lst, p]], {n, 6!}]; lst

CROSSREFS

Cf. A158709

Sequence in context: A028388 A067606 A046135 this_sequence A074267 A068072 A136292

Adjacent sequences: A162333 A162334 A162335 this_sequence A162337 A162338 A162339

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 01 2009

EXTENSIONS

Edited by N. J. A. Sloane, Jul 18 2009

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


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