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A082716 Plateau and depression primes of the form (10^a(n)-1)-2*(10^[ a(n)-1 ]+1) or (72*10^[ a(n)-1 ]-27)/9. 1
3, 5, 29, 157, 323, 353, 1213, 1285, 7985, 15193, 84773, 119931, 148861 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

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

Makoto Kamada, Prime numbers of the form 799...997.

Index entries for primes involving repunits.

FORMULA

a(n) = A056263(n) + 2.

EXAMPLE

a(n)=5 -> (10^5-1)-2*(10^4+1) = 79997.

CROSSREFS

Cf. A082697-A082720.

Sequence in context: A154942 A092330 A176951 * A060255 A154552 A100857

Adjacent sequences:  A082713 A082714 A082715 * A082717 A082718 A082719

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

a(11)=84773 from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 03 2011

a(12)=119931 from Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 01 2011

a(13)=148861 from Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 09 2011

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Last modified February 17 13:04 EST 2012. Contains 206022 sequences.