A089360 Prime worms.

101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 12101, 14741, 18181, 32323, 34543, 35353, 35753, 72727, 74747, 75797, 78787, 79757, 94949, 95959, 97579, 1012321, 1212121, 1414741, 1474141, 1616161, 3131353

Offset: 1

Author

Enoch Haga, Dec 27 2003

Keywords

• easy
• nonn
• base

Comments

While some palindromic primes are included, there are other criteria for addition to this sequence.

Examples

			a(15)=12101; first and last digits = 1; no identical adjacent digits; abs(1-2)=1;abs(2-1)=1; abs(1-0)=1; abs(0-1)=1; the worm is 1.
		

References

• Carlos Rivera's primepuzzles.net, Puzzle 246

Links

• Carlos Rivera, Puzzle 246. The worms

Crossrefs

Cf. A089291, A089315-89317, A048398-48405.

Formula

From sequence of primes beginning with 3-digits, select those with identical first and last digits; no adjacent digits identical; and absolute value of sequential differences of paired digits a constant.