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A186281 Primes within A186278. 0
37, 43, 73, 79, 109, 127, 139, 181, 229, 241, 271, 277, 313, 331, 349, 367, 397, 421, 433, 457, 487, 547, 571, 577, 607, 613, 673, 691, 727, 733, 751, 757, 769, 823, 829, 853, 907, 919, 991, 1009, 1063, 1087, 1093, 1117, 1123, 1171, 1231, 1249, 1279 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

367 is in the sequence because (1) it is prime and (2) the sum of its digits (3 + 6 + 7 = 16) plus the sum of the digits of 367^2 (134689 -> 1 + 3 + 4 + 6 + 8 + 9 = 31) equals 16 + 31 = 47, which is prime.

MATHEMATICA

Select[Prime[Range[300]], PrimeQ[Total[IntegerDigits[#]]+Total[IntegerDigits[#^2]]]&]

CROSSREFS

Cf. A186278, A186279, A186280.

Sequence in context: A109557 A176927 A039950 * A225423 A322098 A039351

Adjacent sequences:  A186278 A186279 A186280 * A186282 A186283 A186284

KEYWORD

nonn,easy,base

AUTHOR

Harvey P. Dale, Feb 16 2011

STATUS

approved

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Last modified August 5 13:12 EDT 2021. Contains 346469 sequences. (Running on oeis4.)