A381969 Primes p with the property that PreviousPrime(p) is a substring of p^2.

3701, 65442077, 8410957371097

Offset: 1

Author

Giorgos Kalogeropoulos, Mar 11 2025

Keywords

• nonn
• base
• bref
• more

Comments

a(4) <= 39835421121719177570419.

p = 1410901659681109388941762308365764228483 is also a member of this sequence and it is the only known term that is the greater of a twin prime pair.

Examples

			3701 is a term because PreviousPrime(3701) = 3697 is a substring of 3701^2 = 13697401.
		

Links

• Carlos Rivera, Coll.20th-017. The square of Prime contains Prevprime, The Prime Puzzles and Problems Connection.

Crossrefs

Cf. A052073.

Programs

Mathematica

Select[Prime@Range[10^4],StringContainsQ[ToString[#^2],ToString[NextPrime[#,-1]]]&]