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Primes which yield primes each time the process of removing two outermost digits is carried out until finally a two digit prime (possibly with a leading 0) is obtained.
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%I #12 Dec 05 2013 19:55:17

%S 1021,1031,1033,1039,1051,1117,1171,1193,1231,1237,1291,1297,1319,

%T 1373,1433,1439,1471,1531,1597,1613,1619,1733,1831,1973,1979,2027,

%U 2029,2039,2053,2111,2113,2131,2137,2179,2237,2239,2293,2297,2311,2371

%N Primes which yield primes each time the process of removing two outermost digits is carried out until finally a two digit prime (possibly with a leading 0) is obtained.

%e 101737 is a member as the number obtained by removing the first and the last digit 0173 is a prime and further removing the first and the last digit gives another prime 17.

%t Select[Prime[Range[PrimePi[1000]+1, PrimePi[9999]]], PrimeQ[FromDigits[Rest[Most[IntegerDigits[#]]]]]&] (* _Harvey P. Dale_, Jan 04 2011 *)

%Y Cf. A069686.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Apr 09 2002

%E Corrected by _T. D. Noe_, Nov 01 2006

%E Corrected and extended by Harvey P. Dale, Jan 04 2011