Primes of both forms 24n+7 and 7m+24

[Brendan McKay]

* zak seidov <zakseidov at yahoo.com> [080424 17:34]:
> A1 Primes of the both forms 24n+7 and 7m+24

But that is the same thing as 168k+31.  Why is it interesting?

Brendan.

> 31,199,367,1039,1543,1879,2383,2551,2719,2887,3391,3559,3727,4231,4567,4903,5407,5743,6079,6247,7591,7759,7927,8263,8431,8599,9103,9439,10111,11119,11287,11959,12799,12967,13807,14143,14479,14983,15319,15823,15991,16831,17167,17839,18679,19183,19687,20023,20359,21031,21871,22039,22543,23719,23887,24223,24391
> 
> A2 Corresponding values of n
> 1,8,15,43,64,78,99,106,113,120,141,148,155,176,190,204,225,239,253,260,316,323,330,344,351,358,379,393,421,463,470,498,533,540,575,589,603,624,638,659,666,701,715,743,778,799,820,834,848,876,911,918,939,988,995,1009,1016,1079,1100,1149,1156,1163,1170,1191,1198,1205,1233,1254,1261,1338,1415,1429,1436,1450,1471,1499
> 
> A3 Corresponding values of m
> 1,25,49,145,217,265,337,361,385,409,481,505,529,601,649,697,769,817,865,889,1081,1105,1129,1177,1201,1225,1297,1345,1441,1585,1609,1705,1825,1849,1969,2017,2065,2137,2185,2257,2281,2401,2449,2545,2665,2737,2809,2857,2905,3001,3121,3145,3217,3385,3409,3457,3481,3697,3769,3937,3961,3985,4009,4081,4105,4129,4225
> 
> Difference between m and n is always multiple of 17
> and 
> 
> A4 Corresponding values of (m-n)/17
> 0,1,2,6,9,11,14,15,16,17,20,21,22,25,27,29,32,34,36,37,45,46,47,49,50,51,54,56,60,66,67,71,76,77,82,84,86,89,91,94,95,100,102,106,111,114,117,119,121,125,130,131,134,141,142,144,145,154,157,164,165,166,167,170,171,172,176,179,180,191,202,204,205,207,210,214,215,216,221,224,225,227,230,231,234,235,236,237,240,241,244,249,254,257,259,
> 
> Also all primes in A1 are of form 8k-1,
> hence
> 
> A5 Corresponding values of k
> 
> 4,25,46,130,193,235,298,319,340,361,424,445,466,529,571,613,676,718,760,781,949,970,991,1033,1054,1075,1138,1180,1264,1390,1411,1495,1600,1621,1726,1768,1810,1873,1915,1978,1999,2104,2146,2230,2335,2398,2461,2503,2545,2629,2734,2755,2818,2965,2986,3028,3049,3238,3301,3448,3469,3490,3511,3574,3595,3616,3700
> 
> Are there any other (interesting) properties of
> primes in A1?
> thanks, zak
>  
> 
> 
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