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

1,1

Comments

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..131

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 *)

Crossrefs

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

Cf. A273363.

Sequence in context: A142768 A140013 A342299 * A074281 A090833 A201043

Adjacent sequences: A167738 A167739 A167740 * A167742 A167743 A167744

Keyword

base,nonn

Author

Claudio Meller, Nov 10 2009

Extensions

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

Status

approved