|
|
A204938
|
|
Irregular table T(n,k) of primes such that all terms in row n have a prime companion that sums to 10^n.
|
|
1
|
|
|
3, 5, 7, 3, 11, 17, 29, 41, 47, 53, 59, 71, 83, 89, 97, 3, 17, 23, 29, 47, 53, 59, 71, 89, 113, 137, 173, 179, 191, 227, 239, 257, 281, 317, 347, 353, 359, 383, 401, 431, 443, 479, 491, 509, 521, 557, 569, 599, 617, 641, 647, 653, 683, 719, 743, 761, 773
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Row 1 has 3 terms. Row 2 has 12 terms. Row 3 has 56 terms. All rows after the first have an even number of terms.
|
|
LINKS
|
|
|
EXAMPLE
|
3+7=10, 41+59=100, 317+683=1000.
|
|
MATHEMATICA
|
Flatten[Table[ps = Prime[Range[PrimePi[10^n]]]; Select[ps, MemberQ[ps, 10^n - #] &], {n, 3}]] (* T. D. Noe, Jan 27 2012 *)
|
|
CROSSREFS
|
Cf. A107318 (number of terms in row n).
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|