A086259 Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.

1151, 1193, 1319, 1373, 1511, 1733, 1913, 1931, 1973, 2003, 3119, 3137, 3191, 3371, 3559, 3719, 3779, 3797, 3911, 3917, 5953, 7193, 7331, 7793, 7937, 9137, 9173, 9311, 9371, 9377, 10111, 11113, 11119, 11131, 11311, 11551, 13313, 13913, 15511, 19139, 19319

Offset

1,1

Comments

Because 3-digit terms coincide with additive 3-dimensional primes A046713, it is interesting to start with 4-digit primes. All of them may use only zero and odd digits, with the unique exclusion 2003 with one even digit. Primes such that sum of any two_neighbor_digits is prime A086244.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Zak Seidov, Prime sum of three neighbor digits.

Zak Seidov, Prime sum of three neighbor digits, message 12962 in primenumbers Yahoo group, Jul 14, 2003. [Cached copy]

Example

1973 is a term because 1+9+7=17, 9+7+3=19, 7+3+1=11 and 3+1+9=13 are all prime.

Crossrefs

Cf. A086244, A046713.

Sequence in context: A233944 A329520 A054999 * A345472 A175606 A179036

Adjacent sequences: A086256 A086257 A086258 * A086260 A086261 A086262

Keyword

nonn,base

Author

Zak Seidov, Jul 26 2003

Extensions

More terms from Alois P. Heinz, May 10 2016

Status

approved