login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062241 Smallest integer >= 2 that is not the sum of 2 positive integers whose prime factors are all <= p(n), the n-th prime. 3
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.

a(30) > 2570169839. - Donovan Johnson

REFERENCES

Computed by David W. Wilson, Jun 29, 2001.

LINKS

Table of n, a(n) for n=0..29.

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: A140456 A066768 A225914 * A000229 A133435 A079061

Adjacent sequences:  A062238 A062239 A062240 * A062242 A062243 A062244

KEYWORD

nonn,nice

AUTHOR

Richard Schroeppel , Jun 27 2001

EXTENSIONS

More terms from Jud McCranie, Nov 01 2001

a(23)-a(29) from Donovan Johnson, Aug 31 2010.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 2 19:13 EST 2016. Contains 278683 sequences.