|
Search: id:A089675
|
|
|
| A089675 |
|
Numbers n such that 9*R_n - 2 is a prime number, where R_n = 11...1 is the repunit (A002275) of length n. |
|
+0
16
|
|
| 1, 2, 3, 17, 140, 990, 1887, 3530, 5996, 13820, 21873, 26045
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Also numbers n such that 10^n - 3 is a (probable) prime number.
Next term is greater than 26045. - Patrick De Geest (pdg(AT)worldofnumbers.com, Dec 28 2004.
If n is in the sequence (10^n-3 is prime) and m=3*(10^n-3) then phi(m)=reversal(m)(m is in the sequence A069215). - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Dec 25 2004.
|
|
LINKS
|
Index entries for primes involving repunits
|
|
EXAMPLE
|
10^2 - 3 = 97 is a prime number (in fact all are the largest less than 10^n).
|
|
MATHEMATICA
|
To check for all n up to m: For[n=1, n<m, If[PrimeQ[10^n-3]==True, Print[n]]; n++ ]
|
|
CROSSREFS
|
Cf. A069215, A101700.
Adjacent sequences: A089672 A089673 A089674 this_sequence A089676 A089677 A089678
Sequence in context: A056794 A135726 A042978 this_sequence A041383 A042903 A132534
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
Michael Gottlieb (mzrg(AT)verizon.net), Jan 05 2004.
|
|
EXTENSIONS
|
a(8) from Robert G. Wilson v, Jan 14 2004.
a(9) and a(10) from Gabriel Cunningham (gcasey(AT)mit.edu), Mar 06 2004.
a(11) from Gabriel Cunningham (gcasey(AT)mit.edu), Mar 13 2004.
a(12) from Henri Lifchitz (HLifchitz(AT)compuserve.com).
Edited by Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 28 2004.
|
|
|
Search completed in 0.002 seconds
|
