OFFSET
1,1
COMMENTS
Related to the Goldbach conjecture. Proving that this sequence is non-terminating would prove the Goldbach conjecture.
LINKS
Travis J Weber, Table of n, a(n) for n = 1..10002
Travis J Weber, Python notebook code
EXAMPLE
For n=5, the sequence a(1..4) is 2, 3, 5, 7. The even numbers 4..14 are sums of two terms and 16 is the smallest even number not a sum. The smallest prime allowing 16 to be made is 11, by 5 + 11 = 16. Thus, a(5) = 11.
For n=106, the smallest even number that is not the sum of two terms a(1..105) is 1082. The smallest prime allowing 1082 to be made is 541, by 541 + 541 = 1082. Thus, a(106) = 541.
CROSSREFS
KEYWORD
nonn
AUTHOR
Travis J Weber, Dec 05 2022
STATUS
approved