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

Author

Zak Seidov, May 27 2007

Keywords

• nonn

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

Crossrefs

Cf. A002144, A005098.

Programs

Mathematica

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