A154813 Primes p such that the largest decimal digit of p + the smallest digit of prime(p) is a prime.

2, 11, 41, 43, 59, 101, 127, 173, 211, 223, 241, 263, 307, 311, 313, 317, 389, 419, 487, 557, 601, 613, 617, 619, 647, 673, 677, 727, 739, 751, 757, 761, 827, 839, 853, 857, 883, 929, 953, 971, 1013, 1021, 1033, 1039, 1061, 1091, 1103, 1109, 1123, 1151, 1181

Offset

1,1

Links

Table of n, a(n) for n=1..51.

Maple

nmax := proc (n) local nn: nn := convert(n, base, 10): max(seq(nn[j], j = 1 .. nops(nn))) end proc: nmin := proc (n) local nn: nn := convert(n, base, 10): min(seq(nn[j], j = 1 .. nops(nn))) end proc: a := proc (n) if isprime(n) = true and isprime(nmax(n)+nmin(ithprime(n))) = true then n else end if end proc: seq(a(n), n = 1 .. 1300); # Emeric Deutsch, Jan 27 2009

Mathematica

Select[Prime[Range[200]], PrimeQ[Max[IntegerDigits[#]]+Min[ IntegerDigits[ Prime[ #]]]]&] (* Harvey P. Dale, Sep 23 2011 *)

Crossrefs

Sequence in context: A335629 A000822 A290175 * A168367 A247101 A080093

Adjacent sequences: A154810 A154811 A154812 * A154814 A154815 A154816

Keyword

nonn,base,less

Author

Juri-Stepan Gerasimov, Jan 15 2009, Jan 16 2009

Extensions

Corrected (added 101, 223, 853; removed 233, 239, 811) and extended by Emeric Deutsch, Jan 27 2009

Status

approved