|
|
A062241
|
|
Smallest integer >= 2 that is not the sum of 2 positive integers whose prime factors are all <= p(n), the n-th prime.
|
|
4
|
|
|
3, 7, 23, 71, 311, 479, 1559, 5711, 10559, 18191, 31391, 118271, 366791, 366791, 2155919, 2155919, 2155919, 6077111, 6077111, 98538359, 120293879, 131486759, 131486759, 508095719, 2570169839, 2570169839, 2570169839, 2570169839, 2570169839, 2570169839
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
Here we are taking 1 to be the zeroth prime.
|
|
REFERENCES
|
|
|
LINKS
|
|
|
EXAMPLE
|
a(1): 2=1+1, 3=1+2, 4=2+2, 5=1+4, 6=2+4, but 7 cannot be written as the sum of two positive integers whose prime factors are all <= 2, so a(1) = 7. a(2): 7=3+4, 8=4+4, 9=1+8, ..., 22=4+18, but 23 cannot be so written, so a(2) = 23.
|
|
CROSSREFS
|
So far it agrees with A045535. Is this a coincidence or a theorem?
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
Richard C. Schroeppel, Jun 27 2001
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|