A089316 -id:A089316 - cp's OEIS frontend

A089315 Prime worms [successive digit differences with absolute value of 3].

14741, 74747, 1414741, 1474141, 14141414141, 14141414741, 14141474741, 14147414741, 14147474141, 74141414147, 1474741414141, 7474141474747, 7474741414747, 14141474141414141, 14147414747474741, 14147474147474741

Offset: 0

Enoch Haga, Dec 25 2003

One of a family of prime worms differing according to the uniform absolute value of successive digit pairs. Sequence checked to 10^9.

This is a subset of A048400. Cf. A089291, A089316-A089317, A048398-A048405.

			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.

Carlos Rivera's primepuzzles.net, Puzzle 246.

Carlos Rivera, Puzzle 246. The worm

Select prime numbers having the same first and last digits; if the uniform absolute value of successive digit differences is 3, add to sequence.

More terms from David Wasserman, Sep 09 2005

A089317 Prime worms [successive digit differences with absolute value of 4].

Original entry on oeis.org

151, 373, 95959, 9515959, 159595151, 159595951, 15151595951, 15951595151, 95951515159, 1515159515951, 1515959515951, 1515959595151, 1595159515151, 1595159595151, 9515151515159, 9515159515159, 9515159595959, 9595159515959

Offset: 0

Enoch Haga, Dec 25 2003

			a(1)=373; first and last digits are 3; abs(3-7)=4; abs(7-3)=4; the worm is 3.

Carlos Rivera's primepuzzles.net, Puzzle 246

Carlos Rivera, Puzzle 246. The worm

This is a subsequence of A048401. Cf. A089291, A089315-A089316, A048398-A048405.

Select prime numbers having the same first and last digits; if the uniform absolute value of successive digit differences is 4, add to sequence.

More terms from David Wasserman, Sep 09 2005

cp's OEIS Frontend

A089315 Prime worms [successive digit differences with absolute value of 3].

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