The General Number Field Sieve (which is informally 2/3 of the way towards being polynomial in the number of digits (but is still exponential)) is the best known way to factor large integers, in that it scales the best for very large numbers. We're talking like 150 or more digits. And stop reading urban-dictionary and go ask google or something you nerd (just like me ;3) see also: "Special Number Field Sieve" (not on here!)
For numbers with 150+ digits, if you're not going to use the GNFS (General number field sieve), then tbh just don't bother.
by mb6fbhsphdrcb April 23, 2025
Get the General number field sievemug. This number is so purely indescribably large, that no mind in a fzgargagoltriplex years could fathom purely how monstrously large this number is. It may as well be infinity!
Here’s references for purely how large the number is:
(For Reference, on the basic scale, from addition to beyond decation.)
Level 1 - Addition; example 10+10 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 20
Level 2 - Multiplication; example 10*10 (or 10x10) (or 10•10) = 10+10+10+10+10+10+10+10+10+10 = 100
Level 3 - Triation; example 10^10 = 10*10*10*10*10*10*10*10*10*10 = 10,000,000,000
Level 4 - Tetration; example 10^^10 = 10^10^10^10^10^10^10^10^10^10
Level 5 - Pentation; example 10^^^10 = 10^^10^^10^^10^^10^^10^^10^^10^^10^^10
Level 6 - Hexation; example 10^^^^10
- Now we use: 10{n}10, n represents the amount of ^'s in the number.
Level 7 - Heptation; example 10^^^^^10 (or 10{5}10)
Level 8 - Octation; example 10^^^^^^10 (or 10{6}10)
Level 9 - Ennation; example 10^^^^^^^10 (or 10{7}10)
Level 10 - Decation; example 10^^^^^^^^10 (or 10{8}10)
- Now we get to 10{10{n}10}10 numbers.
10{10{10}10}10
10{10{10{10}10}10}10
10{{1}}10 = 10{10{10{10…(10*){10}…(10*)10}10}10}10
With operator notation (which was just used) we can go further, but that’s all we need to know for graham’s number.
Without further ado, here’s the definition using that system.
G0 = 3{4}3
G1 = 3{3{4}3}3
G2 = 3{3{3{4}3}3}3
G3 = 3{3{3{3{4}3}3}3}3
…
G64 = 3{3{3{3{3…(65*){4}…(65*)3}3}3}3}3 or Graham's Number
Here’s references for purely how large the number is:
(For Reference, on the basic scale, from addition to beyond decation.)
Level 1 - Addition; example 10+10 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 20
Level 2 - Multiplication; example 10*10 (or 10x10) (or 10•10) = 10+10+10+10+10+10+10+10+10+10 = 100
Level 3 - Triation; example 10^10 = 10*10*10*10*10*10*10*10*10*10 = 10,000,000,000
Level 4 - Tetration; example 10^^10 = 10^10^10^10^10^10^10^10^10^10
Level 5 - Pentation; example 10^^^10 = 10^^10^^10^^10^^10^^10^^10^^10^^10^^10
Level 6 - Hexation; example 10^^^^10
- Now we use: 10{n}10, n represents the amount of ^'s in the number.
Level 7 - Heptation; example 10^^^^^10 (or 10{5}10)
Level 8 - Octation; example 10^^^^^^10 (or 10{6}10)
Level 9 - Ennation; example 10^^^^^^^10 (or 10{7}10)
Level 10 - Decation; example 10^^^^^^^^10 (or 10{8}10)
- Now we get to 10{10{n}10}10 numbers.
10{10{10}10}10
10{10{10{10}10}10}10
10{{1}}10 = 10{10{10{10…(10*){10}…(10*)10}10}10}10
With operator notation (which was just used) we can go further, but that’s all we need to know for graham’s number.
Without further ado, here’s the definition using that system.
G0 = 3{4}3
G1 = 3{3{4}3}3
G2 = 3{3{3{4}3}3}3
G3 = 3{3{3{3{4}3}3}3}3
…
G64 = 3{3{3{3{3…(65*){4}…(65*)3}3}3}3}3 or Graham's Number
Person 1: Hey, Person 2!
Person 2: What is it?
Person 1: Did you know that there’s a number called Graham's Number, and it’s a really large number and-
Person Graham's Number: Did someone say my name?
Person 2: What is it?
Person 1: Did you know that there’s a number called Graham's Number, and it’s a really large number and-
Person Graham's Number: Did someone say my name?
by idkwhatnametoputhere August 3, 2024
Get the Graham's Numbermug. .
by AddictedToAnAuditoru March 7, 2025
Get the Sally Brompton Only Thinks Of The Angel Number Five Thousand And Thirty Fivemug. Number block 8 is from a British television show called number blocks he works out regularly at his local gym hence his beautiful completion and body.
Personality: slightly vain,brave,loyal,leader,strong character
Loves: helping out other fellow number blocks ,flexing, number block 6 and using the same abbreviation over and over again which is (“hua”).
And by the way “hua” means heard, understood, and acknowledged but I think he’s just using it too sound tough lol!
Personality: slightly vain,brave,loyal,leader,strong character
Loves: helping out other fellow number blocks ,flexing, number block 6 and using the same abbreviation over and over again which is (“hua”).
And by the way “hua” means heard, understood, and acknowledged but I think he’s just using it too sound tough lol!
by CharlESee August 19, 2022
Get the Number block (8)mug. <.7.9.7.6.>Jowrarah Jones' Word 'Reset'" Gun Jam '-'In'_' Google Chrome Browser Boomark FOr The ANgel Number "'Six Hundred And Twenty Six'"<.7.9.7.6.>
<.7.9.7.6.>Jowrarah Jones' Word 'Reset'" Gun Jam '-'In'_' Google Chrome Browser Boomark FOr The ANgel Number "'Six Hundred And Twenty Six'"<.7.9.7.6.>
by Adujasty343 June 10, 2025
Get the <.7.9.7.6.>Jowrarah Jones' Word 'Reset'" Gun Jam '-'In'_' Google Chrome Browser Boomark FOr The ANgel Number "'Six Hundred And Twenty Six'"<.7.9.7.6.>mug. by cgf February 8, 2015
Get the Farrell Numbermug. by tdizzle159 November 6, 2011
Get the Trollback Numbermug.