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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303093 Balanced primes of order one ending in 3. 3
53, 173, 263, 373, 563, 593, 653, 733, 1103, 1123, 1223, 1753, 2903, 2963, 3313, 3733, 4013, 4993, 5113, 5303, 5393, 5563, 6073, 6263, 6323, 6373, 6863, 7523, 7583, 7823, 8713, 9473, 10253, 10853, 11903, 11933, 12583, 12653, 12973, 13043, 13463, 14543, 14753 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

53 = (47 + 53 + 59)/3 = 159/3 and 53 = 5*10 + 3.

MAPLE

p:=ithprime: a:=n->`if`(add(p(n-k), k=-1..1)=3*p(n) and modp(p(n), 10) = 3, p(n), NULL): seq(a(n), n=3..2000);

PROG

(GAP) P:=Filtered([1..15000], IsPrime);;

a:=Filtered(List(Filtered(List([0..Length(P)-3], k->List([1..3], j->P[j+k])), i->Sum(i)/3=i[2]), m->m[2]), l-> l mod 10=3);

CROSSREFS

Intersection of A006562 and A030431.

Cf. A303092, A303094, A303095.

Sequence in context: A141880 A142698 A241044 * A056209 A098671 A056157

Adjacent sequences:  A303090 A303091 A303092 * A303094 A303095 A303096

KEYWORD

nonn,base

AUTHOR

Muniru A Asiru, Apr 18 2018

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 February 22 23:03 EST 2019. Contains 320411 sequences. (Running on oeis4.)