A252066 Numbers n such that n^2 is a sum of 2 and also of 4 consecutive primes.

6, 24, 42, 48, 1326, 1676, 2772, 4428, 4820, 4940, 5328, 5472, 6318, 9950, 10074, 12942, 13724, 14372, 16290, 18428, 22776, 22818, 23800, 23952, 25134, 28614, 28800, 31212, 31394, 32060, 33716, 36526, 37320, 39228, 39446, 39528, 43670, 43798, 44490, 45570, 47700, 48000

Offset: 1

Author

Zak Seidov, Dec 13 2014

Keywords

• nonn

Examples

			6^2=36=17+19=5+7+11+13, 18^2=324=157+163=73+79+83+89.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..507

Crossrefs

Intersection of A051395 and A074924.

Programs

Mathematica

Module[{nn=10^7,p2,p4},p2=Total/@Partition[Prime[Range[nn]],2,1];p4=Total/@Partition[ Prime[Range[nn]],4,1];Select[Sqrt[Intersection[p2,p4]],IntegerQ]] (* The program generates the first 20 terms of the sequence. *) (* Harvey P. Dale, May 03 2024 *)