|
Search: id:A077792
|
|
|
| A077792 |
|
Palindromic wing primes (a.k.a. near-repdigit palindromes) of the form (10^a(n)-1)/3+5*10^[ a(n)/2 ]. |
|
+0
1
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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
|
Patrick De Geest, World!Of Numbers, Palindromic Wing Primes (PWP's)
Makoto Kamada, Factorizations of 33...33833...33
|
|
EXAMPLE
|
a(n)=15 -> (10^15-1)/3+5*10^7 = 333333383333333.
|
|
MATHEMATICA
|
Do[ If[ PrimeQ[(10^n + 15*10^Floor[n/2] - 1)/3], Print[n]], {n, 3, 13600, 2}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 16 2005)
|
|
CROSSREFS
|
Cf. A004023, A077775-A077798, A107123-A107127, A107648, A107649, A114633-A114647.
Adjacent sequences: A077789 A077790 A077791 this_sequence A077793 A077794 A077795
Sequence in context: A015013 A132683 A059386 this_sequence A087614 A063739 A060194
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 16 2002.
|
|
|
Search completed in 0.002 seconds
|
