The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A120827 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A120827

Primes with n consecutive digits ascending beginning with the digit nine.
(history; published version)

#6 by Harvey P. Dale at Sun Sep 06 16:41:56 EDT 2015

STATUS

editing

approved

#5 by Harvey P. Dale at Sun Sep 06 16:41:52 EDT 2015

MATHEMATICA

Flatten[Position[Table[FromDigits[PadRight[{}, n, {9, 0, 1, 2, 3, 4, 5, 6, 7, 8}]], {n, 100}], _?PrimeQ]] (* Harvey P. Dale, Sep 06 2015 *)

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 17:37:44 EDT 2012

COMMENTS

There is no further term up to 26000. - _Farideh Firoozbakht (mymontain(AT)yahoo.com), _, Sep 11 2006

Discussion

Fri Mar 30

17:37

OEIS Server: https://oeis.org/edit/global/181

#3 by Russ Cox at Fri Mar 30 17:31:20 EDT 2012

AUTHOR

_Robert G. Wilson v (rgwv(AT)rgwv.com), _, Jul 05 2006

Discussion

Fri Mar 30

17:31

OEIS Server: https://oeis.org/edit/global/156

#2 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007

CROSSREFS

Cf. A006510, A006055, A120819, A120820, A120821, A120822, A120823, A120824, A120825, A120826.

KEYWORD

base,bref,hard,nonn,new

#1 by N. J. A. Sloane at Fri Sep 29 03:00:00 EDT 2006

NAME

Primes with n consecutive digits ascending beginning with the digit nine.

DATA

13, 29, 43

OFFSET

1,1

COMMENTS

Digits are in ascending order beginning with 9 and after 9 comes 0.

The sequence "Primes with n consecutive digits descending beginning with the digit nine" has no terms.

There is no further term up to 26000. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Sep 11 2006

EXAMPLE

13 is a term since 9012345678901 is a prime.

MATHEMATICA

fQ[n_] := PrimeQ@ FromDigits@ Mod[8+Range@n, 10]; lst = {}; Do[ If[fQ@n, AppendTo[lst, n]; Print@n], {n, 5000}]; lst

CROSSREFS

Cf. A006510, A120819, A120820, A120821, A120822, A120823, A120824, A120825, A120826.

KEYWORD

base,bref,hard,nonn,new

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 05 2006

STATUS

approved