login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A243616 Primes p of the form prime(n) + digitsum(n). 1
3, 5, 11, 19, 53, 67, 73, 83, 109, 131, 157, 167, 179, 239, 281, 431, 457, 499, 541, 577, 617, 683, 719, 739, 839, 977, 1021, 1031, 1063, 1097, 1117, 1231, 1301, 1327, 1439, 1451, 1459, 1493, 1559, 1571, 1913, 1949, 1999, 1997, 2099, 2137, 2221, 2287, 2447, 2459 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..2534

EXAMPLE

11 is in the sequence because it is prime and prime(4) + 4 = 7 + 4 = 11.

109 is in the sequence because it is prime and prime(26) + (2+6) = 101 + 8 = 109.

MAPLE

with(numtheory): A243616 = proc() local k; k:=ithprime(n)+add(i, i= convert((n), base, 10))(n); if isprime(k) then RETURN (k); fi; end: seq(A243616 (), n=1..500);

MATHEMATICA

A243616 = {}; Do[t = Prime[n] + Total[IntegerDigits[n]]; If [PrimeQ[t], AppendTo[A243616, t]], {n, 500}]; A243616

CROSSREFS

Cf. A000040, A007953.

Sequence in context: A293820 A281380 A117272 * A147189 A118744 A092672

Adjacent sequences:  A243613 A243614 A243615 * A243617 A243618 A243619

KEYWORD

nonn,base

AUTHOR

K. D. Bajpai, Jun 07 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 7 16:09 EDT 2020. Contains 335496 sequences. (Running on oeis4.)