4776913109852041418248056622882488319 POLARSSL_ERR Woodall

n2^n-1.
7, 23, 383, 32212254719, 2833419889721787128217599, 195845982777569926302400511, 4776913109852041418248056622882488319, 1307960347852357218937346147315859062783, 225251798594466661409915431774713195745814267044878909733007331390393510002687 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
A050918
383 is 1337
Prime Knows Primes.
a(n) = A002234(n)2^A002234(n) - 1. -
Select[Table[n 2^n-1, {n, 300}], PrimeQ]
(PARI) for(n=2, 999, ispseudoprime(p=n2^n-1)&&print1(p", ")) \
Cf. A002234, A003261.
A099051 A187487 A034192 * A228699 A159485 A009047
 A050915 A050916 A050917 * A050919 A050920 A050921
Dec 30 1999
STATUS[APPROVED]

Rn = n.2n-1
  n : Rn (alen) = factors
101 : 256065421246102339102334047485951 (33) = 3 * 3 * 3 * 83 * 15737 * 162525039511 * 44675235879073
102 : 517201444893117595810654907793407 (33) = 11 * 19 * 2474648061689557874692128745423
103 : 1044544094588061026833283441229823 (34) = 180347 * 25737919 * 1110312353 * 202674567187
104 : 2109370598779773724090514133745663 (34) = 521 * 3733 * 1084568970519084455592422891
105 : 4259306016766850789028922770063359 (34) = 491 * 870301 * 9967537290687835623087649
106 : 8599741671948308259753634545270783 (34) = 3 * 97 * 300112427 * 98471020260508742826719
107 : 17361742620725829882898847100829695 (35) = 3 * 5 * 7 * 11 * 137 * 515357 * 1247327 * 3085307 * 55322764669
108 : 35048003795110086492580850222235647 (35) = 157 * 161411101 * 1383025650525019511150471
109 : 70745044697537026438728012485623807 (35) = 7 * 26325617 * 217415521 * 1765748646825964793
110 : 142788163609707759784588649053552639 (36) = 130651 * 166844751811 * 6550386407519435599
111 : 288172475648682933383442546271715327 (36) = 1097 * 2843 * 69193 * 107251 * 2708417 * 4597163694127
112 : 581537248155900694395415588872650751 (36) = 3 * 3 * 223 * 289754483386099000695274334266393
113 : 1173459090028871044047892170403741695 (37) = 3 * 5 * 75880099 * 5689708397 * 181200251723491271
114 : 2367687367491881398609906326124363775 (37) = 5 * 5 * 4391 * 21568548098309099509085915063761
115 : 4776913109852041418248056622882488319 (37) = prime
116 : 9636902969440640078552601187032498175 (37) = 5 * 5 * 919 * 7331 * 213011270207009 * 268606281442027
117 : 19439959438354394641218178256600039423 (38) = 37 * 233 * 2254954116500915745414473756710363
118 : 39212225875655018250662308278270164991 (38) = 3 * 4759 * 677213 * 4055638617872072047137294991
119 : 79089065749202494437776520086680502271 (38) = 3 * 3 * 13 * 23 * 139 * 4789 * 118139849 * 373720308703784364139
120 : 159507359494189904748456847233641349119 (39) = 7 * 17 * 239 * 1453 * 3859848413303804590734396707603
121 : 321673174979949641242721308587843387391 (39) = 241 * 3140681898569 * 424985244527708403701879
122 : 648663261943038945977057845416808153087 (39) = 101 * 11621 * 552655411245976638380891068164247
123 : 1307960347852357218937346147315859062783 (40) = prime
124 : 2637188343637273091841153207596203638783 (40) = 3 * 83 * 2420368542973 * 4375828580602640493699779
125 : 5316911983139663491615228241121378303999 (40) = 3 * 31 * 157 * 197 * 307 * 30930126533 * 194666209168116568357
126 : 10718894558009561599096

https://wikileaks.org/vault8/document/repo_hive/client/ssl/polarssl-0_14_0/tests/suites/test_suite_mpi_data/test_suite_mpi.data


Base test mpi_is_prime #7
mpi_is_prime:10:"27":POLARSSL_ERR_MPI_NOT_ACCEPTABLE
Base test mpi_is_prime #8
mpi_is_prime:10:"47":0
Test mpi_is_prime #1
mpi_is_prime:10:"827131507221654563937832686696200995595835694437983658840870036586124168186967796809117749047430768825822857042432722828096779098498192459819306321073968735177531164565305635281198148032612029767584644305912099":0
Test mpi_is_prime #2
mpi_is_prime:10:"827131507221654563937832686696200995595835694437983658840870036586124168186967796809117749047430768825822857042432722828096779098498192459819306321073968735177531164565305635281198148032612029767584644305912001":POLARSSL_ERR_MPI_NOT_ACCEPTABLE
Test mpi_is_prime #3
mpi_is_prime:10:"2833419889721787128217599":0
Test mpi_is_prime #4
mpi_is_prime:10:"195845982777569926302400511":0
Test mpi_is_prime #5
mpi_is_prime:10:"4776913109852041418248056622882488319":0
Test mpi_is_prime #5
mpi_is_prime:10:"768614336404564651":0
Test mpi_is_prime #6
mpi_is_prime:10:"201487636602438195784363":0
Test mpi_is_prime #7
mpi_is_prime:10:"845100400152152934331135470251":0
Test mpi_is_prime #8
mpi_is_prime:10:"56713727820156410577229101238628035243":0
Test mpi_is_prime #9
mpi_is_prime:10:"203956878356401977405765866929034577280193993314348263094772646453283062722701277632936616063144088173312372882677123879538709400158306567338328279154499698366071906766440037074217117805690872792848149112022286332144876183376326512083574821647933992961249917319836219304274280243803104015000563790123":0
-no access-

https://books.google.com/books?id=PtlOCwAAQBAJ&pg=PA28&lpg=PA28&dq=4776913109852041418248056622882488319&source=bl&ots=ea66EUcKYA&sig=PGsL-iBo78bFBMNKjzNstITvrPQ&hl=en&sa=X&ved=0ahUKEwirkuHBupDZAhVJ2oMKHVzpCyMQ6AEISDAK#v=onepage&q=4776913109852041418248056622882488319&f=false

http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/matha123.htm

https://www.scribd.com/document/168161204/2-5-prime-numbers-extentions

2 5 prime numbers extentions | Prime Number | Recreational Mathematics

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_computer_science

This article is a list of unsolved problems in computer science. A problem in computer science is considered unsolved when no solution is known, or when experts in the field disagree about proposed solutions.

Know thy Prime.

https://wikivisually.com/wiki/Mirimanoff_prime

The Cube is Pandora's Box.