A113601 Intersection of A002144 and A005098.

13, 37, 73, 97, 193, 277, 373, 409, 433, 577, 673, 709, 853, 997, 1033, 1093, 1129, 1297, 1429, 1453, 1549, 1597, 1753, 1777, 2017, 2029, 2293, 2437, 2677, 2713, 2953, 3037, 3049, 3109, 3229, 3457, 3469, 3637, 3769, 3793, 3853, 4057, 4273, 4297, 4729

Offset

1,1

Comments

Primes p of the form 4m+1 such that q=4p+1 is also prime. Corresponding values of m are: 3,9,18,24,48,69,93,102,108,144,168,177,213,249,258,273,282,324,357,363,387,399,438,444,504,507,573,609,669,678,738,759,762,777,807,864,867,909 - all multiples of 3. And corresponding values of q are: 53,149,293,389,773,1109,1493,1637,1733,2309,2693,2837,3413,3989,4133,4373,4517,5189,5717,5813,6197,6389,7013,7109,8069,8117,9173,9749,10709,10853,11813.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[700]], IntegerQ[(#-1)/4]&&PrimeQ[4#+1]&] (* Harvey P. Dale, May 15 2022 *)

Crossrefs

Cf. A002144, A005098.

Sequence in context: A049742 A347209 A247867 * A158864 A003154 A083577

Adjacent sequences: A113598 A113599 A113600 * A113602 A113603 A113604

Keyword

nonn

Author

Zak Seidov, May 27 2007

Status

approved