login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A048416
Primes whose consecutive digits differ by 4 or 5.
1
2, 3, 5, 7, 37, 59, 61, 73, 83, 151, 373, 383, 727, 1627, 3727, 4049, 4051, 4951, 5051, 5059, 6151, 15161, 15959, 16273, 26161, 26261, 37273, 40483, 48383, 61627, 62627, 72727, 73727, 73849, 83737, 84059, 94049, 94837, 94849, 94949, 94951
OFFSET
1,1
LINKS
MAPLE
extend:= proc(n) local d, x;
d:= n mod 10;
seq(10*n+x, x = select(t -> t >= 0 and t <= 9, [d-5, d-4, d+4, d+5]))
end proc:
R:= 2, 3, 5, 7: count:= 4:
T:= [$1..9]:
for d from 2 while count < 100 do
T:= map(extend, T);
V:= select(isprime, T);
count:= count+nops(V);
R:= R, op(V);
od:
R; # Robert Israel, Oct 17 2023
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Apr 15 1999
STATUS
approved