

A179522


Prime numbers (A000040) which are also primes in carryless digital root arithmetic in base 10 (A169911).


0



3, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 127, 131, 137, 151, 157, 163, 167, 181, 191, 193, 197, 211, 227, 233, 241, 251, 257, 263, 271, 277, 281, 293, 307, 331, 337, 367, 397, 401, 409, 421, 431
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OFFSET

1,1


COMMENTS

Primes {2,5,7} are units in carryless digital root arithmetic in base 10.
Composites which are also primes in carryless digital root arithmetic in base 10
begin {6, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, ...}.
1 is a unit and also a unit in carryless digital root arithmetic in base 10.
What is the asymptotic density of this sequence?


LINKS

Table of n, a(n) for n=1..57.
Index entries for sequences related to carryless arithmetic


FORMULA

A000040 INTERSECTION A169911.


CROSSREFS

Cf. A000040.
Sequence in context: A031449 A305859 A090260 * A020635 A175820 A127209
Adjacent sequences: A179519 A179520 A179521 * A179523 A179524 A179525


KEYWORD

base,easy,nonn


AUTHOR

Jonathan Vos Post, Jul 17 2010


STATUS

approved



