PARI's commands

[CRGreathouse]

Originally Posted by 3.14159

The sequence, with the restriction is:

2, 3, 5, 109, 163, 257, 271, 379, 433, 487, 541, 769, 3329, 7681, 7937, 9473, 10753, 11777, 12289, 13313, 14081, 14593, 15361, 17921, 18433, 19457, 22273, 23041, 23297, 25601, 26113, 26881, 30977, 31489, 32257, 36097, 36353, 37501, 37633, 37889, 39937, 40193, 40961, 41729, 43777, 45569, 46337, 49409, 49921, 50177, 51713, 57089, 57601, 58369, 59393, 60161, 61441, 62501, 64513, 65537, ...

Originally Posted by 3.14159

The sequence with the restriction. (k * b^b + 1, k < b^b)

So why is 2 a member? Why is 3 a member? Why is 13 not a member? Why is 65537 a member?

I get

5, 13, 109, 163, 257, 271, 379, 433, 487, 541, 769, 3329, 7681, 7937, 9473, 10753, 11777, 12289, 13313, 14081, 14593, 15361, 17921, 18433, 19457, 22273, 23041, 23297, 25601, 26113, 26881, 30977, 31489, 32257, 36097, 36353, 37501, 37633, 37889, 39937, 40193, 40961, 41729, 43777, 45569, 46337, 49409, 49921, 50177, 51713, 57089, 57601, 58369, 59393, 60161, 61441, 62501, 64513, 112501, 118751, 131251, 139969, 150001, 193751, 206251, 212501, 262501, 281251, 287501, 318751, 325001, 326593, 418751, 431251, 437501, 450001, 466561, 506251, 525001, 562501, 568751, 606251, 643751, 681251, 700001, 731251, 737501, 746497, 756251, 768751, 812501, 825001, 839809, 862501, 900001, 918751, 937501, 943751, 1068751, 1073089, 1093751, 1125001, 1162501, 1166401, 1168751, 1213057, 1237501, 1331251, 1350001, 1387501, 1393751, 1492993, 1539649, 1556251, 1637501, 1650001, 1656251, 1675001, 1706251, 1726273, 1731251, 1806251, 1862501, 1968751, 1987501, 2031251, 2043751, 2068751, 2081251, 2099521, 2100001, 2118751, 2125001, 2156251, 2218751, 2256251, 2287501, 2293751, 2350001, 2362501, 2379457, 2387501, 2400001, 2425001, 2426113, 2443751, 2512501, 2537501, 2550001, 2593751, 2606251, 2625001, 2662501, 2725001, 2743751, 2775001, 2799361, 2800001, 2837501, 2875001, 2912501, 2925001, 2950001, 2962501, 3032641, 3037501, 3131251, 3150001, 3175001, 3294173, 3300001, 3312577, 3337501, 3343751, 3381251, 3405889, 3437501, 3512501, 3543751, 3581251, 3600001, 3643751, 3656251, 3700001, 3718751, 3731251, 3750001, 3756251, 3787501, 3825793, 3868751, 3918751, 3937501, 3993751, 4068751, 4093751, 4106251, 4181251, 4187501, 4218751, 4237501, 4312501, 4331251, 4368751, 4387501, 4393751, 4406251, 4506251, 4543751, 4562501, 4575001, 4581251, 4618751, 4631251, 4712501, 4725001, 4750001, 4758913, 4762501, 4825001, 4837501, 4893751, 4900001, 4945537, 4956251, 4975001, 4987501, 5031251, 5038849, 5087501, 5106251, 5132161, 5143751, 5162501, 5181251, 5193751, 5237501, 5287501, 5362501, 5365441, 5368751, 5381251, 5400001, 5481251, 5493751, 5556251, 5575001, 5593751, 5612501, 5687501, 5725001, 5762501, 5831251, 5837501, 5925001, 5925313, 6006251, 6025001, 6056251, 6065281, 6100001, 6112501, 6118751, 6137501, 6187501, 6225001, 6268751, 6318751, 6343751, 6381251, 6487501, 6531251, 6550001, 6581251, 6600001, 6618751, 6625001, 6625153, 6671809, 6750001, 6756251, 6806251, 6825001, 6858433, 6887501, 6900001, 6937501, 6943751, 6956251, 6981251, 6993751, 6998401, 7018751, 7087501, 7091713, 7106251, 7168751, 7256251, 7262501, 7275001, 7281251, 7300001, 7371649, 7393751, 7406251, 7518751, 7543751, 7631251, 7687501, 7698241, 7712501, 7768751, 7900001, 7950001, 8050001, 8062501, 8071489, 8106251, 8137501, 8156251, 8162501, 8164801, 8175001, 8193751, 8211457, 8235431, 8256251, 8268751, 8293751, 8312501, 8387501, 8443751, 8550001, 8631251, 8681251, 8700001, 8706251, 8737501, 8775001, 8850001, 8856251, 8864641, 8875001, 8893751, 8906251, 8911297, 8925001, 8950001, 8981251, 8987501, 9118751, 9137501, 9191233, 9237889, 9287501, 9300001, 9337501, 9343751, 9356251, 9362501, 9375001, 9393751, 9487501, 9493751, 9550001, 9606251, 9657793, 9712501, 9737501, 9750001, 9937729, 10031041, 10497601, 11010817, 11337409, 11803969, 12597121, 13156993, 13763521, 14043457, 14090113, 14230081, 14510017, 14556673, 14696641, 14789953, 14836609, 15069889, 15443137, 15536449, 15909697, 16329601, 16469569, 16562881, 16702849, 16796161, 17122753, 17356033, 17496001, 18522433, 18942337, 19268929, 19688833, 19828801, 19968769, 20901889, 20995201, 21041857, 21088513, 21974977, 22254913, 22768129, 22908097, 23001409, 23234689, 23421313, 23561281, 23654593, 23841217, 24074497, 24401089, 25007617, 25287553, 25334209, 25707457, 25800769, 26220673, 26453953, 26500609, 26827201, 26920513, 27900289, 27993601, 28000463, 28086913, 28133569, 28460161, 28600129, 28740097, 28973377, 29253313, 29486593, 29626561, 29906497, 30093121, 30139777, 30466369, 30559681, 30792961, 31352833, 31492801, 31866049, 32006017, 32239297, 32332609, 32565889, 32659201, 32941721, 32985793, 33825601, 33872257, 34292161, 34385473, 34525441, 34805377, 34852033, 35271937, 35971777, 36484993, 36671617, 36764929, 36998209, 37231489, 37698049, 37931329, 38397889, 38631169, 38724481, 39051073, 39191041, 39284353, 39331009, 39657601, 39890881, 40264129, 40357441, 40404097, 40590721, 40824001, 41057281, 41197249, 41383873, 41523841, 41803777, 41850433, 41990401, 42037057, 42363649, 42456961, 42596929, 42783553, 42970177, 43016833, 43156801, 43250113, 43296769, 43483393, 43530049, 43856641, 44136577, 44416513, 44463169, 44603137, 45116353, 45396289, 45489601, 45629569, 45722881, 45816193, 45956161, 46189441, 46422721, 46562689, 46702657, 46935937, 47169217, 47215873, 47402497, 47589121, 47869057, 48148993, 48755521, 48895489, 49035457, 49082113, 49502017, 50155201, 50621761, 50948353, 51321601, 52068097, 52301377, 52348033, 52394689, 52581313, 53281153, 53327809, 54214273, 54447553, 55100737, 55194049, 55987201, 56313793, 56593729, 56733697, 56966977, 57246913, 57480193, 57526849, 57713473, 57900097, 58553281, 58693249, 59299777, 59859649, 60186241, 60559489, 60932737, 61119361, 61632577, 63032257, 63078913, 63265537, 63358849, 63452161, 63685441, 63778753, 64012033, 64431937, 64525249, 64898497, 65178433, 65318401, 65411713, 65458369, 65831617, 66344833, 66531457, 67091329, 67277953, 67464577, 67651201, 67744513, 67791169, 68257729, 68724289, 68910913, 69050881, 69564097, 69750721, 70357249, 70963777, 71290369, 71383681, 71663617, 71850241, 72316801, 72690049, 72923329, 73156609, 73296577, 73529857, 74789569, 74882881, 74929537, 74976193, 75349441, 75489409, 76142593, 76329217, 76422529, 76515841, 76889089, 77215681, 77262337, 77915521, 78148801, 78382081, 78475393, 78848641, 79060129, 79175233, 79221889, 79548481, 79595137, 79688449, 79828417, 79921729, 80015041, 80061697, 80481601, 80808193, 81041473, 81414721, 81554689, 81974593, 82021249, 82487809, 83047681, 83327617, 83794177, 83980801, 84001387, 84074113, 84307393, 84494017, 84820609, 85240513, 85940353, 85987009, 86406913, 86453569, 86593537, 86640193, 86920129, 87246721, 87293377, 87526657, 87619969, 88506433, 88646401, 88693057, 89159617, 89486209, 89952769, 90186049, 90372673, 90605953, 90652609, 90792577, 90839233, 91212481, 92425537, 93312001, 93545281, 93778561, 93871873, 94758337, 94851649, 94944961, 95224897, 95458177, 95784769, 96437953, 96671233, 96811201, 96904513, 97137793, 97324417, 97417729, 97744321, 97837633, 98490817, 98817409, 99190657, ...

though I can't post much of what I have.

[3.14159]

Originally Posted by CRGreathouse

So why is 2 a member? Why is 3 a member? Why is 13 not a member? Why is 65537 a member?

Ah. Didn't see that. Correct those, please?
My computer is subject to p95 at the moment.

[CRGreathouse]

Originally Posted by 3.14159

Ah. Didn't see that. Correct those, please?
My computer is subject to p95 at the moment.

If you already submitted it I'll have to wait until the next time Neil updates. But I suppose I needed to edit it regardless to add my b-file...

What is the sequence number?

[3.14159]

Originally Posted by CRGreathouse

If you already submitted it I'll have to wait until the next time Neil updates. But I suppose I needed to edit it regardless to add my b-file...

I made errors everywhere! I need to repair Karsten's database! +

[CRGreathouse]

Do you have the Sloane A-number? (It should be in the confirmation email.) I can use that to store my b-file until the sequence shows up.

[science_man_88]

Originally Posted by CRGreathouse

I'll lift a glass in your honor. (Literally, why not!)

well I can give you a few reasons lol 1) hangover (I'm not allowed to drink so luckily I've never got one)

2) if you can't understand Pi when sober will drinking really help that ?

[science_man_88]

Originally Posted by science_man_88

I got the matrix formed and vectors to fill it but can you get it to print them as rows not just all at once ?

I realized I can just use print(v[i])) for matrix v.

no I can't lol.

[science_man_88]

Originally Posted by science_man_88

well I can give you a few reasons lol 1) hangover (I'm not allowed to drink so luckily I've never got one)

2) if you can't understand Pi when sober will drinking really help that ?

oh wait I forgot it's him that needs to understand you drink away lol

[3.14159]

Originally Posted by CRGreathouse

Do you have the Sloane A-number? (It should be in the confirmation email.) I can use that to store my b-file until the sequence shows up.

A180362!

[CRGreathouse]

Originally Posted by science_man_88

I realized I can just use print(v[i])) for matrix v.

With

M=[1,2;3,4]

you can use

M[2,1]

to show the element in the second row, first column.

[3.14159]

Reached the halfway point for 501 to 750.