

A086259


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


1



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
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OFFSET

1,1


COMMENTS

Because 3digit terms coincide with additive 3dimensional primes A046713, it is interesting to start with 4digit 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 * A175606 A179036 A179037
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



