A274932 Squares m = k^2 with the property that nextprime(k) is a substring of m.

529, 729, 6889, 12769, 162409, 644809, 851929, 1261129, 47969476, 64048009, 317837584, 1600240009, 2822053129, 24421563076, 40001200009, 84290347584, 107667328129, 145381301521, 160002400009, 437766166321, 788815751409

Offset: 1

Author

Harvey P. Dale and N. J. A. Sloane, Jul 13 2016

Keywords

• nonn
• base

Examples

			529 = 23^2, and nextprime(23) = 29 is a substring of 529, so 529 is a term.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..39 (all terms < 4*10^18)

Crossrefs

Suggested by A052074.

Programs

Mathematica

Select[Range[2*10^6]^2,SequenceCount[IntegerDigits[#], IntegerDigits[ NextPrime[ Sqrt[ #]]]]>0&] (* The program uses the SequenceCount function from Mathematica version 10 *) (* Harvey P. Dale, Jul 13 2016 *)
Select[Range[2*10^6], {} != StringPosition @@ ToString /@ {#^2, NextPrime@ #} &]^2 (* Giovanni Resta, Jul 15 2016 *)