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A098649 Primes of the form 2(p+q) + 1, where p and q are consecutive primes. 2
11, 17, 37, 61, 73, 137, 157, 181, 241, 257, 277, 373, 397, 409, 421, 433, 577, 601, 617, 641, 661, 769, 821, 1097, 1117, 1129, 1153, 1201, 1237, 1249, 1297, 1453, 1481, 1597, 1621, 1657, 1861, 1933, 2089, 2129, 2281, 2297, 2417, 2441, 2473, 2749, 2857, 3037 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) == 1 (mod 4), except for the initial term.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[ Table[2(Prime[i] + Prime[i + 1]) + 1, {i, 150}], PrimeQ[ # ] &] (* Robert G. Wilson v, Sep 19 2004 *)

Select[2*Total[#]+1&/@Partition[Prime[Range[200]], 2, 1], PrimeQ] (* Harvey P. Dale, Dec 25 2019 *)

CROSSREFS

Cf. A097361.

Sequence in context: A271999 A317453 A317678 * A078872 A291374 A181421

Adjacent sequences:  A098646 A098647 A098648 * A098650 A098651 A098652

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto, Sep 18 2004

EXTENSIONS

More terms from Robert G. Wilson v, Sep 19 2004

STATUS

approved

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Last modified April 7 12:36 EDT 2020. Contains 333305 sequences. (Running on oeis4.)