Hello!

Prime numbers I found so far (all proven by N+1, N-1, or Primo):


731969*3615-1

731969*3617-1

731969*3699-1

731969*2979+1

26350885*365+1

26350885*366+1

26350885*368+1

26350885*3627+1

26350885*3648+1

26350885*3665+1

26350885*36264+1

26350885*36551+1

26350885*362009+1

26350885*362224+1

26350885*364776+1

26350885*365067+1

17944*3618-1 - Sophie Germain - 35888*3618-1

17944*36340-1

17944*361716-1

17944*362666-1

17944*362838-1

4133660484201617547*3618-1

4133660484201617547*3654-1

4133660484201617547*3696-1

4133660484201617547*364209-1

4133660484201617547*3677+1

4133660484201617547*36231+1

4133660484201617547*36882+1

4133660484201617547*361589+1

4133660484201617547*362501+1

833033*365+1

833033*3612+1

833033*36324+1

833033*36647+1

833033*361377+1

833033*364085+1

833033*365204+1

833033*367836+1

833033*3614697+1

50!/(26!*25!)+1

138!/(70!*69!)+1

172!/(87!*86!)+1

180!/(91!*90!)+1

190!/(96!*95!)+1

208!/(105!*104!)+1

290!/(146!*145!)+1

406!/(204!*203!)+1

430!/(216!*215!)+1

454!/(228!*227!)+1

582!/(292!*291!)+1

618!/(310!*309!)+1

644!/(323!*322!)+1

674!/(338!*337!)+1

814!/(408!*407!)+1

960!/(481!*480!)+1

1584!/(793!*792!)+1

1646!/(824!*823!)+1

1838!/(920!*919!)+1

2002!/(1002!*1001!)+1

2318!/(1160!*1159!)+1

4452!/(2227!*2226!)+1

5486!/(2744!*2743!)+1

5644!/(2823!*2822!)+1

8500!/(4251!*4250!)+1

16154!/(8078!*8077!)+1

16218!/(8110!*8109!)+1

32048!/(16025!*16024!)+1

RSA-2048*2164-1

RSA-2048*2226-1

RSA-2048*2834-1

RSA-2048*21732-1

RSA-2048*23920-1

RSA-2048*24176-1

RSA-2048*24220-1

RSA-2048*25756-1

RSA-2048*29250-1

RSA-2048*214832-1

643786079*36^16-1

643786079*36^38-1

643786079*36^99-1

643786079*36^304-1

643786079*36^422-1 (666 digits!)


Numbers I like the most (composites have factors after them):


911

9118675309

8675309

4198862272=2^6*11*5964293

4198862272127

709

907

90709

phi=1.6180339887...

pi=3.1415926535...

M911=1823*26129303*201955048939840841121786425435009*1799520676358263836249116773983093776067731788104797976755522863204273973214237799542669775253771301268617374756896653578445267522764696603459866460147715295527356171742430813085374395309929925098792998479072683867643648045147452807

M43112609

M127, MM127, MMM127, etc. (They might all be prime, but it's extremely unlikely)


Base-36 Values of k:

VELOCIRAPTOR (4133660484201617547=34*173*311*948513010129) (only 3 primes for n<1000, still searching n>1000, k value too big for Proth & NewPGen, using PFGW)

HURT (833033)

FOSH (731969) (a sentient alien bird species; + side is divisible by 5)

FOSH1 (26350885) (same as above)

DUG (17944) (an alien that uses it's arms as legs and vice versa, searched up to n=10000)

Other Base-36 k values I may use in the future:

HUNT (832889) (All composite; + side is divisible by 5, - side is divisible by 7; cofactor could possibly be prime, though)

HUTT (833105=5*7*13*1831)

SKYWALKER (80634324010131=3^2*239*37486900981; - side is divisible by 5)

LUKE (1019390=2*5*101939; - side is divisible by 7)

ANAKIN (643786079=1493*431203) (+ side is divisible by 35)

DARTH (22337621=3251*6871; - side is divisible by 5)

VADER (52552035=3^2*5*1167823)

Some notable Base-94 numbers:

www.mersenne.org (23173464146192129623556375950544=2^4*43*61*2551*11981*2888628773*6254281541)

12345ABCabc`~^&* (403838401633020116561588357495=5*2521*29221*2597002043*422179750373)

V?~17OPfwq3an (15217655020295956113030421=78914411*192837465647382911)

1tRaaRt1 (102991592304415=5*19*43*25212140099)

https://www.google.com/webhp?hl=en (5657439476159105326705063160658143662130016410521642446186695866793; The only prime URL I've found so far.)

QuiGon-Jinn (1432756288327546284743), middle of sexy prime triplet (with QuiGon-Jint (1432756288327546284749) and QuiGon-Jinh (1432756288327546284737))

...and many others. :-)