Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #6 Nov 29 2017 23:02:25
%S 2,3,11,29,47,59,71,83,101,131,149,167,227,257,317,347,359,383,389,
%T 479,503,563,569,587,593,683,773,839,857,881,947,983,1019,1091,1109,
%U 1187,1193,1229,1259,1319,1361,1499,1583,1613,1637,1697,1733,1823,1913,1931
%N Primes p with property that concatenation prime(1)//p//prime(2) = 2//p//3 is a prime.
%C Necessarily for p > 3: p = 6 * m + 5, as for q = 6*m+1 sod(2//q//3) is a multiple of 3
%D E. I. Ignatjew, Mathematische Spielereien, Urania Verlag Leipzig/Jena/Berlin 1982
%H Robert Israel, <a href="/A176316/b176316.txt">Table of n, a(n) for n = 1..10000</a>
%e 223 = prime(48), 2 = prime(1) is first term
%e 233 = prime(51), 3 = prime(2) is 2nd term
%e 2//05//3 = 2053 = prime(310), a "leading" zero is included, no term of sequence
%e 2113 = prime(319), 11 = prime(5) is 3rd term
%p filter:= p -> isprime(p) and isprime(10*p+3+2*10^(2+ilog10(p))):
%p select(filter, [2,3,seq(i,i=5..2000,6)]); # _Robert Israel_, Nov 29 2017
%K base,nonn
%O 1,1
%A Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Apr 15 2010