Jason wrote:
>b) When I killed mprime (v19), I realized that it had been
> *factoring* my highest exponent (which was not the
> current one being tested), when it's explicitly set up
> to do Lucas-Lehmer tests only. Is this the intended
> behavior? The number that it was factoring is > 7100000,
> if that's pertinent.
Was this exponent newly assigned or already had it been
assigned at some point in the past? All versions attempt
to trial-factor exponents (if necessary) to a certain
point before beginning the L-L tests. To give an accurate
amount of work queued up, they will perform any necessary
trial-factoring (for those exponents to be L-L tested)
before they begin (or continue) any further L-L testing.
As it happens, v19 has new breakpoints in trail-factoring.
For example, all exponents in the 8-9 million range had
previously been trial-factored only to 2^63, however v19's
breakpoints will cause additional trial-factoring to 2^64
to be attempted for exponents above 8.25 million. There
are also some exponents (between 7-7.27 million) that
has only been trial-factored thru 2^62. V19 will attempt
additional trial-factoring thru 2^63 for these exponents.
The limits for v18 and v19 trail-factoring (in millions) are:
Trial-Factoring V18 V19
thru range(s) range(s)
=============== ============= ===============
2^72 --- 71.00 - 79.30
2^71 --- 57.02 - 71.00
2^70 --- 44.15 - 57.02
2^69 --- 35.10 - 44.15
2^68 --- 28.13 - 35.10
2^67 --- 21.59 - 28.13
2^66 --- 17.85 - 21.59
2^65 --- 13.38 - 17.85
2^64 9.15 - 20.40 8.25 - 13.38
2^63 7.27 - 9.15 6.515 - 8.25
2^62 5.16 - 7.27 5.16 - 6.515
2^61 3.96 - 5.16 3.96 - 5.16
2^60 2.95 - 3.96 2.95 - 3.96
2^59 2.655 - 2.95 2.36 - 2.95
2^58 2.135 - 2.655 1.93 - 2.36
2^57 1.675 - 2.135 1.48 - 1.93
Eric Hahn
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