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A157717 Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted. 1

%I

%S 311,401,613,811,1013,1471,1861,2011,4051,4261,4801,4903,6067,8209,

%T 8501,9403,9461,10061,10301,11831,13913,14051,19961,20353,20707,22063,

%U 25031,25903,27763,31511,36313,37561,43313,43517,49003,49331,49891,51817

%N Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted.

%C One and only one digit can change between any two successive primes in a run.

%C Rearrangement is optionally permitted to arrive at next consecutive prime in run.

%C Leading zeros are not permitted; all numbers in the run must have the same number of digits.

%e 311 is in the sequence because it begins a run of seven consecutive primes as required:

%e 311 (1->3) 313 (3->7) 317 (7->3,swap 1&3) 331 (1->7) 337 (3->4) 347 (7->9) 349.

%e 401 starts a run of nine: 401, 409, 419, 421, 431, 433, 439, 443, 449.

%e Note that 409 and 419 are not included since they are not the start of the run.

%Y Cf. A157885.

%K nonn,base

%O 1,1

%A _Ki Punches_, Mar 04 2009, Mar 06 2009

%E Edited by _Ray Chandler_, Mar 08 2009

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Last modified November 26 14:22 EST 2022. Contains 358362 sequences. (Running on oeis4.)