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%I #2 Mar 30 2012 17:26:26
%S 113579,113597,113759,113795,113957,113975,115379,115397,115739,
%T 115793,115937,115973,117359,117395,117539,117593,117935,117953,
%U 119357,119375,119537,119573,119735,119753,311579,311597,311759,311795,311957,311975
%N Numbers n with property that for each single digit d of n, we can also see the decimal expansion of d+2 as a substring of n.
%C There are exactly 120 six-digit such integers.
%C These include 24 primes: 113759, 113957, 115793, 117539, 311957, 351179, 375119, 511793, 531197, 539711, 573119, 579113, 579311, 591137, 593711, 711539, 739511, 751139, 751193, 759113, 793511, 911357, 937511, 971153;
%C and 36 semiprimes: 113579, 115397, 115937, 117953, 119537, 119573, 119753, 311579, 311759, 359117, 375911, 379511, 391157, 395711, 397115, 511379, 511397, 511739, 539117, 571139, 593117, 711593, 731195, 753119, 753911, 791135, 911573, 931157, 935117, 935711, 937115, 951137, 957113, 957311, 975113, 975311.
%Y Cf. A134439, A134692, A134948, A135015, A135016, A135463, A135495.
%K base,nonn
%O 1,1
%A _Zak Seidov_, Feb 17 2008