OFFSET
1,1
COMMENTS
The sequence likely contains all the positive integers, although it takes many terms for some values to appear, e.g., a(41205) = 3. The first value to appear twice is 71 = a(14) = a(20), although numbers which are the product of small primes appear multiple times, e.g., in the first 500000 terms the value 5040 appears 808 times.
LINKS
Scott R. Shannon, Table of n, a(n) for n = 1..10000
EXAMPLE
a(1) = 13735 as |13735-1| = 13734, 13735+1 = 13736, and soprf(13734) = 124 = soprf(13736), Omega(13734) = 5 = Omega(13736). No smaller number satisfies these requirements.
a(2) = 23 as |23-2| = 21, 23+2 = 25, and soprf(21) = 10 = soprf(25), Omega(21) = 2 = Omega(25). No smaller number satisfies these requirements.
CROSSREFS
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Feb 20 2024
STATUS
approved