|
Search: id:A062241
|
|
|
| A062241 |
|
Smallest integer >= 2 that is not the sum of 2 positive integers whose prime factors are all less than p(n), the n-th prime. |
|
+0
3
|
|
| 3, 7, 23, 71, 311, 479, 1559, 5711, 10559, 18191, 31391, 118271, 366791, 366791, 2155919, 2155919, 2155919, 6077111, 6077111, 98538359, 120293879, 131486759, 131486759
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Here we are taking 1 to be the zeroth prime.
|
|
REFERENCES
|
Computed by David W. Wilson (davidwwilson(AT)comcast.net), Jun 29, 2001.
|
|
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?
Sequence in context: A045610 A045723 A066768 this_sequence A000229 A133435 A079061
Adjacent sequences: A062238 A062239 A062240 this_sequence A062242 A062243 A062244
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
Richard Schroeppel (rschroe(AT)sandia.gov), Jun 27 2001
|
|
EXTENSIONS
|
More terms from Jud McCranie (j.mccranie(AT)comcast.net), Nov 01 2001
|
|
|
Search completed in 0.002 seconds
|
