login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269703 Numbers n such that prime(n) == 1 (mod 7). 2
10, 14, 20, 30, 31, 45, 47, 52, 60, 68, 75, 82, 87, 90, 94, 101, 113, 115, 120, 122, 126, 132, 134, 144, 153, 156, 162, 163, 169, 177, 183, 192, 209, 213, 220, 226, 233, 239, 250, 251, 262, 267, 269, 288, 295, 304, 306, 315, 320, 324, 330, 337, 342, 344, 346 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Associated primes are in A004619.

LINKS

Table of n, a(n) for n=1..55.

FORMULA

a(n) ~ 7n. - Charles R Greathouse IV, Sep 20 2016

EXAMPLE

a(1) = 10 because prime(10) = 29 and 29 == 1 (mod 7).

MATHEMATICA

Select[Range[500], Mod[Prime[#], 7] == 1 &]

PROG

(MAGMA) [n: n in [1..500] | NthPrime(n) mod 7 eq 1];

(PARI) lista(nn) = for(n=1, nn, if(Mod(prime(n), 7)==1, print1(n, ", "))); \\ Altug Alkan, Mar 04 2016

CROSSREFS

Cf. A004619.

Sequences of numbers n such that prime(n) == 1 (mod k): A091178 (k=3,6), A080147 (k=4), A049511 (k=5,10), this sequence (k=7), A269704 (k=8), A269705 (k=9).

Sequence in context: A272375 A246473 A063920 * A057487 A073486 A073487

Adjacent sequences:  A269700 A269701 A269702 * A269704 A269705 A269706

KEYWORD

nonn

AUTHOR

Vincenzo Librandi, Mar 04 2016

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 January 28 06:59 EST 2021. Contains 340490 sequences. (Running on oeis4.)