Can you spot the prime glitch?

[ryzenmulti]

Thought I might introduce a new game using my recent primes algo's. Start with an easy one, these 2 prime numbers differ by only 1 digit ... can you find the digit that changed (from what to what) and by how much? (can be 1, 2, 3 but <10) For bonus points, can you tell me the position (from left or right)? I call these proximal twins which differ by only 1 number ....

152 digit primes
57926253367613545430858441837592668924075625025796671791494139679959641649361922195924158116349337874721480926731289600843347857390688966134324458482773

57926253367613545430858441837592668924075625025796671791494139679959641649361932195924158116349337874721480926731289600843347857390688966134324458482773
 

[Dataman]

Thought I might introduce a new game using my recent primes algo's. Start with an easy one, these 2 prime numbers differ by only 1 digit ... can you find the digit that changed (from what to what) and by how much? (can be 1, 2, 3 but <10) For bonus points, can you tell me the position (from left or right)? I call these proximal twins which differ by only 1 number ....

152 digit primes
579262533676135454308584418375926689240756250257966717914941396799596416493619*2*2195924158116349337874721480926731289600843347857390688966134324458482773
579262533676135454308584418375926689240756250257966717914941396799596416493619*3*2195924158116349337874721480926731289600843347857390688966134324458482773
 

See above. Hurts my 

[ryzenmulti]

  nice one DM. For your reward, here's a pretty one with 255 digits. (pretty refers to the grouping of numbers into millions) ... might be easier

264 806469 486351 495500 341880 847304 250203 576583 177468 179144 406126 453494 167359 914701 808218 703285 694466 506853 386654 060397 152371 079189 397381 562952 591440 963992 464258 185557 130204 647605 615336 164330 415602 652459 446325 681996 037971 065746 800864 626661 826133 615614 629321 (255 digits) is prime

264 806469 486351 495500 341880 847304 250203 576583 177468 179144 406126 453494 167359 914701 808218 703285 694466 506853 386654 060397 152371 079189 397381 562952 591440 963992 464258 185557 130204 647605 618336 164330 415602 652459 446325 681996 037971 065746 800864 626661 826133 615614 629321 (255 digits) is prime

Ans: https://photos.app.goo.gl/QK2wrtQSq6VXicsi9

[ryzenmulti]

[edit] Fixed an issue with my copy/paste, sorry

Going ballistic with 3 glitches... these 3 primes differ by 1 digit; with these hints ...
prime 1) the change occurs early on
prime 2) this prime contains the only occurrence of this digit in all 3 primes (appears only once)
prime 3) the change is a 9

1)
734346629788453837369237237154332981612584329383121334524645397562658415874342329998422338236184176346589316312359221133689728123351664827615327753382441323863995356833767427394138463329191685313514342852923363842115548185313683871315994367875787771347199264181463863938944561834531784726429958348388157353314332858993695551834442583747596376678317935533378191749427857871339355397

2)
734346629788453837369237237154332981612584329383121334524645397562658415844342329998422338236184176346589316312359221133689728123351664827615327753382441323863995356833767427394138463329191685313514342852923363842115548185313683870315994367875787771347199264181463863938944561834531784726429958348388157353314332858993695551834442583747596376678317935533378191749427857871339355397

3)
734346629788453837369237237154332981612584329383121334524645397562658415844342329998422338236184176346589316312359221133689728123351664827615327753382441323863995356833767427394138463329191685313514342852923363842115548185313683871315994367875787771347199264181463863938944561834531784729429958348388157353314332858993695551834442583747596376678317935533378191749427857871339355397

Ans: https://photos.app.goo.gl/9gsMfCaH7QahRfqq8

[ryzenmulti]

!!MEGA CHALLENGE!! - no context, you show me .... 512 digit primes differ by 1 digit.
Maybe start from the bottom up

1)
95189244188885195595728979883399451599479397799915735441939755154395729997483999591357498794973479932935893789538524752184235424219913425414138357375553221399591825142813138749954754251495219494789959381474985981753753327911483175155577352598519177198993775589383595395897345955972393995591598849492473887358757535948375725494993843392394915991342595299998535413858955559498552522142573152444532959159139379544328157197295921943292925875288429193537195511955951989914877514491954258573415249751949394358395538217

2)
95189244188885195595728979883399451599479397799915735441939755154395729997483999591357498794973479932935893789538524752184235424219913425414138357375553221399591825142813178749954754251495219494789959381474985981753753327911483175155577352598519177198993775589383595395897345955972393995591598849492473887358757535968375725494993843392394915991342595299998535413858955559498552522142573152444532959159139379544328157197295921943292925875288429193537195511955951989914877514491954258573415249751949394358395538217

3)
95189244188885195595728979883399451599479397799915735441939755154395729997483999591357498794973479932935893789538524752184235424219913425414138357375553221399591825142813178749954754251495219494789959381474985981753753327911483175155577352598519177198993775589383595395897345955972393995591598849492473887358757535948375725494993843392394915991342595299998535413858955559498552522142573152444532959159139379544328157197295921943292925875288429193537195511955951989914877514491954258573415249051949394358395538217

Ans: https://photos.app.goo.gl/ELx6kW3LYfA8FyLu8

[ryzenmulti]

Not sayin' nothin' challenge.
781 digit primes differ by 1 digit.

9872998565848992564425628956869495876769298677696848464688876644699587877696925868657668784269289882476959864799546249776998264896694766789985995889898829989629688989422647994969882466921862886979628468749496785779862867228888488698556866748888994785298842742786486976989256488596899944954864554688848998288826886768966574675266868948682887449989646695928666664969982849666828669878667472957685995876878997862698666565894864667499498429626948567894877726878856887982279674744874689967944669829996669489588992495665267465582989872699584759472942588776976878949648886966477964999245499855648665798496988268866584967744886994994966569686788686976788657497792455699896859696724268899792567829776474689285558969564846666246996989958549946746879568745428679229686966896775928626569667923

9872998565848992564425628956869495876769298677696848464688876644699587877696925868657668784269289882476959864799546249776998264896694766789985995889898829989629688989422647994969882466928862886979628468749496785779862867228888488698556866748888994785298842742786486976989256488596899944954864554688848998288826886768966574675266868948682887449989646695928666664969982849666828669878667472957685905876878997862698666565894864667499498429626948567894877726878856887982279674744874689967944669829996669489588992495665267465582989872699584759472942588776976878949648886966477964999245499855648665798496988268866584967744886994994966569686788686976788657497792455699896859696724268899792567829776474689285558969564846666246996989958549946746879568745428679229686966896775928626569667923

9872998565848992564425628956869495876769298677696848464688876644699587877696925868657668784269289882476959864799546249776998264896694766789985995889898829989629688989422647994969882466928862886979628468749496785779862867228888488698556866748888994785298842742786486976989256488596899944954864554688848998288826886768966574675266868948682887449989646695928666664969982849666828669878667472957685995876878997862698666565894864667499498429626948567894877726878856887982279674744874689967944669829996669489588992495665267465582989872699544759472942588776976878949648886966477964999245499855648665798496988268866584967744886994994966569686788686976788657497792455699896859696724268899792567829776474689285558969564846666246996989958549946746879568745428679229686966896775928626569667923

Ans: https://photos.app.goo.gl/maD2xqJVvgq8jWjU7

[Dataman]

I will leave those to Dingo as he is the "King of Primes". I have enough problems with penguins. 

[ryzenmulti]

CHERRY PI CHALLENGE - 888 digits of PI and all the 8's, well 3 of them anyways
She's my cherry pi ..

314159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940583200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061

314159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362987477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061

314159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830268252230825334468503526193118817101000313783875288658753320838142061

Ans: https://photos.app.goo.gl/b9aZ6A4HmjafLjag6[/url

[Dingo]

I just crunch them on Primegrid.  I don't know the maths behind them all and there are many different ones. Good on you  ryzenmulti - for getting right into it.   

[ryzenmulti]

If you want to test any of those numbers yourself, copy and paste them into this website, and press 'Prime'
https://www.alpertron.com.ar/ECM.HTM

Here's the answer to the ballistic challenge below - you were looking for a 7, 0 (only occurrence) and 9. Python runs faster on windoze, and can handle integer numbers with 4300 digits, which blows my tiny little mind!! It can do accurate math on numbers far easier and quicker than anything I have used before. So I have created some cool python scripts which do all the hard work while I sleep. My largest twin prime so far is 1299 digits - primes which differ by 2. I've graphed the decrease in the % of prime numbers up to 150 digits to get an idea on how big the search needs to be to find a twin prime. So far at 2048 digits it has taken me 4 days to find a twin. Will post up the answers in each challenge with a link. My scripts can replace digits to make a challenge easy or hard. Swapping out all the zeros and then finding a glitch prime with only 1 zero was interesting.

Ballistic challenge
Ans: https://photos.app.goo.gl/9gsMfCaH7QahRfqq8

Mega challenge
Ans: https://photos.app.goo.gl/ELx6kW3LYfA8FyLu8