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 A238331 The prime(n)-th prime number ending in prime(n), or 0 if none exists. 1
 0, 23, 0, 107, 2411, 3413, 5417, 4919, 5923, 8629, 9931, 10937, 14741, 14243, 16747, 18553, 19259, 22961, 24767, 28571, 24373, 31079, 29483, 33589, 35597, 498101, 475103, 528107, 555109, 570113, 607127, 641131, 659137, 717139, 756149, 786151, 754157, 817163 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The first number ending in prime(n) is, of course, prime(n). The numbers 2 and 5 are zero because there are no additional primes ending in those numbers; they are the numbers divisible by 2 or 5. LINKS T. D. Noe, Table of n, a(n) for n = 1..200 EXAMPLE 23 is the third prime ending with 3. 107 is the seventh prime ending in 7. 2411 is the 11th prime ending in 11. 3413 is the 13th prime ending in 13 -- a very unlucky prime. MATHEMATICA ps = Prime[Range[PrimePi[1000000]]]; t = {}; p = 1; done = False; While[! done, p = NextPrime[p]; len = Length[IntegerDigits[p]]; s = Select[ps, Mod[#, 10^len] == p &, p]; If[Length[s] < p, If[MemberQ[{2, 5}, p], AppendTo[t, 0], done = True], AppendTo[t, s[[-1]]]]]; t CROSSREFS Cf. A000040 (prime numbers). Cf. A030431, A030432, A167442 (primes ending in 3, 7, 11). Sequence in context: A119566 A143196 A092993 * A114784 A141517 A040534 Adjacent sequences:  A238328 A238329 A238330 * A238332 A238333 A238334 KEYWORD nonn,base AUTHOR T. D. Noe, Feb 27 2014 STATUS approved

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Last modified June 20 19:27 EDT 2019. Contains 324234 sequences. (Running on oeis4.)