login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A107022 Primes p such that 2p+1, 4p+3, 6p+5, 8p+7, 10p+9 are all primes. 5
2, 6449, 210209, 244589, 528509, 810539, 968729, 985109, 1316699, 1551899, 1743419, 2832629, 4094999, 4328459, 5608409, 6036869, 7077419, 7939829, 8176979, 8673569, 8789279, 9080189, 9797279, 10122419, 10309889, 10487969 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[Prime[Range[700000]], And@@PrimeQ[{2#+1, 4#+3, 6#+5, 8#+7, 10#+9}]&] (* Harvey P. Dale, Jun 19 2013 *)

Select[Prime[Range[700000]], AllTrue[Table[2n #+2n-1, {n, 5}], PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 22 2018 *)

PROG

(MAGMA) [p: p in PrimesUpTo(100000000)| IsPrime(2*p+1) and IsPrime(4*p+3) and IsPrime(6*p+5) and IsPrime(8*p+7)and IsPrime(10*p+9)]; // Vincenzo Librandi, Nov 13 2010

CROSSREFS

Cf. A107024: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11, 14p+13 all prime; A107023: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11 all prime; A107021: p, 2p+1, 4p+3, 6p+5, 8p+7 all prime;A107020: p, 2p+1, 4p+3, 6p+5 all prime; A007700: p, 2p+1, 4p+3 all prime; A005384: p, 2p+1 prime (p = Sophie Germain primes).

Cf. A005384, A007700, A107020, A107021, A107023, A107024.

Sequence in context: A099690 A196750 A107021 * A285693 A112720 A129059

Adjacent sequences:  A107019 A107020 A107021 * A107023 A107024 A107025

KEYWORD

nonn

AUTHOR

Zak Seidov, May 09 2005

EXTENSIONS

More terms from Vincenzo Librandi, Apr 01 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)