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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 (list; graph; refs; listen; history; text; internal format)
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 * 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

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Last modified May 18 22:57 EDT 2021. Contains 344007 sequences. (Running on oeis4.)