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

Sequence in context: A046016 A142005 A059225 * A113155 A259221 A142626

Adjacent sequences:  A157714 A157715 A157716 * A157718 A157719 A157720

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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Last modified November 22 05:36 EST 2017. Contains 295076 sequences.