A157885 -id:A157885

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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.

+10
1

311, 401, 613, 811, 1013, 1471, 1861, 2011, 4051, 4261, 4801, 4903, 6067, 8209, 8501, 9403, 9461, 10061, 10301, 11831, 13913, 14051, 19961, 20353, 20707, 22063, 25031, 25903, 27763, 31511, 36313, 37561, 43313, 43517, 49003, 49331, 49891, 51817

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OFFSET

1,1

COMMENTS

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

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

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

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

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

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

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

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

CROSSREFS

Cf. A157885.

KEYWORD

nonn,base

AUTHOR

Ki Punches, Mar 04 2009, Mar 06 2009

EXTENSIONS

Edited by Ray Chandler, Mar 08 2009

STATUS

approved

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