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Search: id:A157717
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| A157717 |
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Primes that start a run of at least seven consecutive primes, where between succesive primes exactly one digit changes and the resulting digits may be permuted. |
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+0
2
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A157885.
Sequence in context: A046016 A142005 A059225 this_sequence A113155 A142626 A142950
Adjacent sequences: A157714 A157715 A157716 this_sequence A157718 A157719 A157720
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KEYWORD
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nonn,base
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AUTHOR
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Ki Punches (ki(AT)kispy.net), Mar 04 2009, Mar 06 2009
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EXTENSIONS
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Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 08 2009
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