login

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”).

Primes p such that adding their adjacent digits in pairs, the digits of their index pi(p) is obtained, in some order.
1

%I #5 Mar 30 2012 17:40:36

%S 227,10223,21163,26021,44041,421409,530513,702413,2402107,5205103,

%T 6012613,6013081,7272217,21033601,21261041,23161601,27115301,31302109,

%U 31536017,40020317,40233409,40710311,41136217,42311407,44124209

%N Primes p such that adding their adjacent digits in pairs, the digits of their index pi(p) is obtained, in some order.

%F a(n)=A000040(A115999(n)). [From _R. J. Mathar_, Aug 10 2008]

%e 45260203 is a member since p(2732986)=45260203 and adding adjacent pairs of digits of 45260203 we obtain (4+5)=9, (5+2)=7, (2+6)=8, (6+0)=6, (0+2)=2, (2+0)=2, (0+3)=3 and the digits 9,7,8,6,2,2,3, order apart, are the same of 2732986.

%Y Cf. A115999, A116070.

%K nonn,base,fini

%O 1,1

%A _Giovanni Resta_, Feb 13 2006

%E All values replaced by _R. J. Mathar_, Aug 10 2008