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A089315
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Prime worms [successive digit differences with absolute value of 3].
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4
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14741, 74747, 1414741, 1474141, 14141414141, 14141414741, 14141474741, 14147414741, 14147474141, 74141414147, 1474741414141, 7474141474747, 7474741414747, 14141474141414141, 14147414747474741, 14147474147474741
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OFFSET
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0,1
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COMMENTS
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One of a family of prime worms differing according to the uniform absolute value of successive digit pairs. Sequence checked to 10^9.
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REFERENCES
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Carlos Rivera's primepuzzles.net, Puzzle 246.
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LINKS
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FORMULA
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Select prime numbers having the same first and last digits; if the uniform absolute value of successive digit differences is 3, add to sequence.
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EXAMPLE
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a(1)=74747 because the number is prime, has identical first and last digits and abs(7-4)=3; abs(4-7)=3; abs(7-4)=3 and abs(4-7)=3. In this number, the worm is 7.
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CROSSREFS
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KEYWORD
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easy,nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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