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A127272 Suppose the sum of the digits of prime(n) and prime(n+1) divides prime(n) + prime(n+1). Sequence gives prime(n). 0
2, 3, 5, 7, 11, 17, 29, 41, 43, 71, 79, 97, 101, 107, 113, 191, 193, 197, 223, 227, 229, 263, 269, 293, 311, 313, 317, 349, 359, 401, 419, 431, 457, 463, 503, 521, 599, 643, 659, 661, 691, 733, 757, 773, 809, 823, 827, 839, 881, 887, 911, 1013, 1019, 1021 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..54.

EXAMPLE

Sum of the digits of prime(25) = 97 is 16, sum of the digits of prime(26) = 101 is 2. 16+2 = 18, which divides 97+101 = 198 = 11*18. Hence prime(25) = 97 is a term.

MATHEMATICA

Prime[ Select[ Range[ 155 ], Mod[ Prime[ # ]+Prime[ #+1 ], Apply[ Plus, IntegerDigits[ Prime[ # ] ] ]+Apply[ Plus, IntegerDigits[ Prime[ #+1 ] ] ] ]==0& ] ] - Farideh Firoozbakht

PROG

(MAGMA) [ p: p in [ NthPrime(k): k in [1..172] ] | (p+q) mod (&+Intseq(p, 10) + &+Intseq(q, 10)) eq 0 where q is NextPrime(p) ]; /* Klaus Brockhaus, Mar 29 2007 */

CROSSREFS

Sequence in context: A323361 A052284 A133670 * A238528 A113192 A077673

Adjacent sequences:  A127269 A127270 A127271 * A127273 A127274 A127275

KEYWORD

nonn,base

AUTHOR

J. M. Bergot, Mar 27 2007

EXTENSIONS

Edited and extended by Klaus Brockhaus and Farideh Firoozbakht, Mar 29 2007

STATUS

approved

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Last modified July 13 04:53 EDT 2020. Contains 335673 sequences. (Running on oeis4.)