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A155962 Numbers n with property that 3*(2n)^2+1 and 1*(2n)^2+3 are primes. 1
1, 4, 11, 32, 56, 73, 80, 109, 122, 143, 158, 175, 182, 217, 256, 262, 280, 284, 290, 308, 343, 347, 403, 431, 434, 437, 535, 581, 598, 619, 655, 665, 928, 973, 980, 1018, 1036, 1046, 1096, 1120, 1159, 1207, 1222, 1235, 1267, 1382, 1393, 1439, 1460, 1463, 1501 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

2*A155962 is intersection of A049422 and A111051.

LINKS

Zak Seidov, Table of n,a (n) for n=1..1000

EXAMPLE

n=1, {3*(2n)^2+1, 1*(2n)^2+3}={13,7};

n=4, {3*(2n)^2+1, 1*(2n)^2+3}={193,67};

n=11, {3*(2n)^2+1, 1*(2n)^2+3}={1453,487};

n=32, {3*(2n)^2+1,1*(2n)^2+3}={12289,4099}.

Resulting primes are congruent to 1 mod 3.

MATHEMATICA

Select[Range[1600], AllTrue[{3(2#)^2+1, (2#)^2+3}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 30 2016 *)

CROSSREFS

Cf. A049422, A111051.

Sequence in context: A134597 A076730 A084757 * A027153 A319918 A034754

Adjacent sequences:  A155959 A155960 A155961 * A155963 A155964 A155965

KEYWORD

nonn

AUTHOR

Zak Seidov, Jan 31 2009

EXTENSIONS

All the terms in the b-file had to be divided by 2. Corrected by N. J. A. Sloane, Aug 31 2009.

STATUS

approved

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Last modified January 25 11:49 EST 2022. Contains 350567 sequences. (Running on oeis4.)