Factoring breaks:

factoring_speed * (proposed_fac_limit-1) * 16 passes / factoring_rate *
tested_p / p * (log2(proposed_fac_limit)-1) = LL-speed * p


(for PPro200)


For 2^60:

.062 * 2^59 * 16 / (18310 * 2^32) * 5000000 / p * 59 = .246 * p

3.636e10 / p * 59 = .246 * p			p = 2.95M


For 2^59:

3.636e10 * 2^-1 / p * 58 = .246 * p		p = 2.07M
3.636e10 * 2^-1 / p * 58 = .246*.371/.481 * p	p = 2.36M


For 2^58:

3.636e10 * 2^-2 / p * 57 = .246*.332/.481 * p	p = 1.75M
3.636e10 * 2^-2 / p * 57 = .246*.272/.481 * p	p = 1.93M


For 2^57:

3.636e10 * 2^-3 / p * 56 = .246*.227/.481 * p	p = 1.48M


For 2^61:

3.636e10 * 2^1 / p * 60 = .295 * p		p = 3.85M
3.636e10 * 2^1 / p * 60 = .246 * p		p = 4.21M


For 2^62:

3.636e10 * 2^2 / p * 61 = .333 * p		p = 5.16M


For 2^63:

.114 * 2^62 * 16 / (18310 * 2^32) * 5000000 / p * 62 = .521 * p

5.348e11 / p * 62 = .521 * p			p = 7.98M
5.348e11 / p * 62 = .625 * p			p = 7.28M


For 2^64:

.119 * 2^63 * 16 / (18310 * 2^32) * 5000000 / p * 63 = .625 * p

1.117e12 / p * 63 = .625 * p			p = 10.61M


For 2^65: (assuming its twice as slow as 2^64 factoring)

1.117e12 * 2^1 / p * 64 * 2 = .898 * p		p = 17.84M



(for P133)


For 2^62:

.127 * 2^61 * 16 / (18310 * 2^32) * 5000000 / p * 61 = .504 * p

2.979e11 / p * 61 = .504 * p			p = 6.00M


For 2^63:

.147 * 2^62 * 16 / (18310 * 2^32) * 5000000 / p * 62 = .674 * p

6.896e11 / p * 62 = .674 * p			p = 7.96M
6.896e11 / p * 62 = .808 * p			p = 7.27M


For 2^64:

.154 * 2^63 * 16 / (18310 * 2^32) * 5000000 / p * 63 = .979 * p

1.445e12 / p * 63 = .979 * p			p = 9.64M
1.445e12 / p * 63 = 1.087 * p			p = 9.15M


For 2^65: (assuming its twice as slow as 2^64 factoring)

1.445e12 * 2^1 / p * 64 * 2 = 1.650 * p		p = 14.97M
1.445e12 * 2^1 / p * 64 * 2 = 2.081 * p		p = 13.33M





factoring_speed * (proposed_fac_limit-1) * 16 passes / factoring_rate *
tested_p / p * (log2(proposed_fac_limit)-1) = LL-speed * p * 2


(for PII-400)


For 2^65:

.135 * 2^64 * 16 / (281982 * 2^32) * 77000000 / p * 64 = .453 * p * 2

1.267e12 / p * 64 = .453 * p				p = 13.38M

For 2^66:

.144 * 2^65 * 16 / (281982 * 2^32) * 77000000 / p * 65 = .536 * p * 2

2.702e12 / p * 65 = .536 * p				p = 18.10M
2.702e12 / p * 65 = .600 * p				p = 17.11M
							p = 17.85M

For 2^67:

.146 * 2^66 * 16 / (281982 * 2^32) * 77000000 / p * 66 = .776 * p * 2

5.479e12 / p * 66 = .776 * p				p = 21.59M

For 2^68:

.147 * 2^67 * 16 / (281982 * 2^32) * 77000000 / p * 67 = .934 * p * 2

1.103e13 / p * 67 = .934 * p				p = 28.13M

For 2^69:

.147 * 2^68 * 16 / (281982 * 2^32) * 77000000 / p * 68 = 1.113 * p * 2

1.103e13 * 2 / p * 68 = 1.113 * p			p = 36.71M
1.103e13 * 2 / p * 68 = 1.226 * p			p = 34.98M
							p = 35.10M

For 2^70:

.154 * 2^69 * 16 / (281982 * 2^32) * 77000000 / p * 69 = 1.636 * p * 2

4.622e13 / p * 69 = 1.636 * p				p = 44.15M


For 2^71:

.154 * 2^70 * 16 / (281982 * 2^32) * 77000000 / p * 70 = 1.990 * p * 2

4.622e13 * 2 / p * 70 = 1.990 * p			p = 57.02M


For 2^72:

.154 * 2^71 * 16 / (281982 * 2^32) * 77000000 / p * 71 = 2.604 * p * 2

4.622e13 * 4 / p * 71 = 2.604 * p			p = 71.00M


For 2^64:

.058 * 2^63 * 16 / (281982 * 2^32) * 77000000 / p * 63 = .252 * p * 2

2.721e11 / p * 63 = .252 * p				p = 8.25M

For 2^63:

2.721e11 * 2^-1 / p * 62 = .2107 * p			p = 6.33M
2.721e11 * 2^-1 / p * 62 = .1726 * p			p = 6.99M
							p = 6.515M