A167741 Primes that become squares when prefixed with an 8.

41, 281, 5849, 8209, 11801, 29921, 33569, 51929, 70489, 77969, 128201, 139609, 196769, 219689, 346321, 415801, 450649, 532241, 543929, 602489, 625969, 684809, 743849, 755681, 767521, 922169, 934121, 946081, 958049

Offset: 1

Author

Claudio Meller, Nov 10 2009

Keywords

• base
• nonn
• changed

Comments

Subsequence of primes of A273363. - Michel Marcus, Jun 24 2016

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..20000 (first 131 terms from Vincenzo Librandi)

Crossrefs

Cf. A167734, A167735, A167736, A167737, A167738, A167739, A167740.

Cf. A273363.

Programs

Mathematica

Select[Prime[Range[10000]], IntegerQ[Sqrt[FromDigits[Join[{8}, IntegerDigits[#]]]]]&] (* G. C. Greubel, Jun 23 2016 *)
Select[Prime[Range[80000]],IntegerQ[Sqrt[8*10^IntegerLength[#]+#]]&] (* Harvey P. Dale, Jan 29 2023 *)

Extensions

Definition corrected and sequence extended by Michel Marcus, Aug 05 2013