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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

%I

%S 1151,1193,1319,1373,1511,1733,1913,1931,1973,2003,3119,3137,3191,

%T 3371,3559,3719,3779,3797,3911,3917,5953,7193,7331,7793,7937,9137,

%U 9173,9311,9371,9377,10111,11113,11119,11131,11311,11551,13313,13913,15511,19139,19319

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

%C 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.

%H Alois P. Heinz, <a href="/A086259/b086259.txt">Table of n, a(n) for n = 1..10000</a>

%H Zak Seidov, <a href="http://groups.yahoo.com/group/primenumbers/message/12962">Prime sum of three neighbor digits</a>.

%H Zak Seidov, <a href="/A086259/a086259.txt">Prime sum of three neighbor digits</a>, message 12962 in primenumbers Yahoo group, Jul 14, 2003. [Cached copy]

%e 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.

%Y Cf. A086244, A046713.

%K nonn,base

%O 1,1

%A _Zak Seidov_, Jul 26 2003

%E More terms from _Alois P. Heinz_, May 10 2016

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Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)