A115998 Primes p such that adding their adjacent digits in pairs, the digits of their index pi(p) is obtained, in some order.

227, 10223, 21163, 26021, 44041, 421409, 530513, 702413, 2402107, 5205103, 6012613, 6013081, 7272217, 21033601, 21261041, 23161601, 27115301, 31302109, 31536017, 40020317, 40233409, 40710311, 41136217, 42311407, 44124209

Offset

1,1

Links

Table of n, a(n) for n=1..25.

Formula

a(n)=A000040(A115999(n)). [From R. J. Mathar, Aug 10 2008]

Example

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.

Crossrefs

Cf. A115999, A116070.

Sequence in context: A158228 A349985 A209843 * A092324 A122976 A098245

Adjacent sequences: A115995 A115996 A115997 * A115999 A116000 A116001

Keyword

nonn,base,fini

Author

Giovanni Resta, Feb 13 2006

Extensions

All values replaced by R. J. Mathar, Aug 10 2008

Status

approved