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 A264815 Semirps: a semirp (or semi-r-p) is a semiprime r*p with r and p both reversed primes. 1
 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 39, 49, 51, 55, 62, 65, 74, 77, 85, 91, 93, 111, 119, 121, 142, 143, 146, 155, 158, 169, 185, 187, 194, 202, 213, 214, 217, 219, 221, 226, 237, 259, 262, 289, 291, 298, 302, 303, 314, 321, 334, 339, 341, 355 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A semiprime (A001358) is the product of two prime, not necessarily distinct. A semiprime is in this list if those two primes (A000040) are reversed primes (A004087). Since A007500 is the intersection of A000040 and A004087, this sequence is also the sorted list of all r*p with r and p in A007500. LINKS Danny Rorabaugh, Table of n, a(n) for n = 1..10000 FORMULA [A007500]^2, sorted. EXAMPLE 9 is in the list because 9 = 3*3 is a semiprime and reverse(3) = 3 is prime. 143 is in the list because 143 = 11*13 is a semiprime and both reverse(11) = 11 and reverse(13) = 31 are prime. PROG (Sage) reverse = lambda n: sum([10^i*int(str(n)[i]) for i in range(len(str(n)))]) def is_semirp(n):   F = factor(n)   if sum([f[1] for f in F])==2:     r, p = F[0][0], F[-1][0]     if is_prime(reverse(r)) and is_prime(reverse(p)): return True [a for a in range(1, 356) if is_semirp(a)] # Danny Rorabaugh, Nov 25 2015 CROSSREFS Cf. A001358, A006567, A007500, A097393, A109019, A115670. Sequence in context: A129336 A226526 A103607 * A108574 A157931 A338904 Adjacent sequences:  A264812 A264813 A264814 * A264816 A264817 A264818 KEYWORD nonn,base AUTHOR Danny Rorabaugh, Nov 25 2015 STATUS approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)