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A082718 Plateau and depression primes of the form 2*(10^a(n)-1)/9+7*(10^[ a(n)-1 ]+1) or (83*10^[ a(n)-1 ]+61)/9. 2
3, 7, 13, 111, 3609, 37785 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Prime versus probable prime status and proofs are given in the author's table.

REFERENCES

C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

LINKS

P. De Geest, PDP Reference Table - 929

Makoto Kamada, Factorizations of 922...229.

FORMULA

a(n) = A056265(n+1) + 2.

EXAMPLE

a(n)=13 -> 2*(10^13-1)/9+7*(10^12+1) = 9222222222229.

CROSSREFS

Cf. A068651, A082697-A082720.

Sequence in context: A137474 A071087 A038691 * A154821 A084741 A135623

Adjacent sequences:  A082715 A082716 A082717 * A082719 A082720 A082721

KEYWORD

nonn,base,more

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Apr 13 2003.

EXTENSIONS

37785 from Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 26 2005

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 20 2010

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Last modified February 16 19:46 EST 2012. Contains 205952 sequences.