A052073 Primes p with the property that nextprime(p) is a substring of p^2.

23, 83, 113, 1123, 200003, 328127, 381289, 714597769, 4916552822383

Offset: 1

Author

Patrick De Geest, Jan 15 2000

Keywords

• nonn
• base
• more

Comments

a(10) > 4*10^13. The prime 482564152712479922509389813571 is also a term. - Giovanni Resta, May 24 2018

Examples

			381289 is a term because nextprime(381289) = 381301 is a substring of 381289^2 = 145381301521.
		

Crossrefs

Cf. A052074, A052075, A052076.

Programs

Mathematica

Select[Prime@Range[1000000],
StringContainsQ[ToString[#^2], ToString[NextPrime[#]]] &] (* Robert Price, Oct 12 2019 *)

Extensions

a(8) from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Sep 04 2006

a(9) from Giovanni Resta, May 24 2018