A179522 Prime numbers (A000040) which are also primes in carryless digital root arithmetic in base 10 (A169911).

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

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, A169911.

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