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A089360 Prime worms. +0
1
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 (list; graph; listen)
OFFSET

0,1

COMMENT

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

REFERENCES

Carlos Rivera's primepuzzles.net, Puzzle 246

LINKS

Carlos Rivera, Puzzle 246. The worms

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.

EXAMPLE

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.

CROSSREFS

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

Sequence in context: A052086 A056730 A077798 this_sequence A056728 A085112 A059758

Adjacent sequences: A089357 A089358 A089359 this_sequence A089361 A089362 A089363

KEYWORD

easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Dec 27 2003

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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