|
|
A280828
|
|
Numbers k of the form 2*10^m + 2 such that 10^k + 9 is prime.
|
|
0
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Let k=2*10^(n-1)+2, then a(n)=10^k+9. For all k>4, k is a term of A058441.
The only known terms from A088275 (Numbers n such that 10^n + 9 is prime) that are of the form 2*10^j + 2 are 4, 22, and 202; given the lower bound given for that sequence's next term, a(4) >= 200002. - Jon E. Schoenfield, Jan 11 2017
For n<4, let k=a(n) and p=(10^k-9)/10^(k/2)+3=10^(k/2)+3, then p is prime. - Sergey Pavlov, Jan 13 2017
|
|
LINKS
|
|
|
FORMULA
|
Numbers k of the form 2*10^m + 2 such that 10^k + 9 is prime.
|
|
EXAMPLE
|
For n=1, a(1)=4 and 10^4 + 9 is prime.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard,bref,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|