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A054757 Smallest prime of the form m*Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)^2. 4

%I #12 Aug 17 2017 22:39:54

%S 11,31,79,331,4789,30319,1021381,29099599,446186581,51757546801,

%T 1002802452019,29682952540921,304250263529059,78496567990022389,

%U 1844669347765477039,423659060203470584971,13459322451079488477211

%N Smallest prime of the form m*Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)^2.

%H Michael De Vlieger, <a href="/A054757/b054757.txt">Table of n, a(n) for n = 1..349</a>

%e a(7) = 2*510510 + 361 = 2*(2*3*5*7*11*13*17) + 19*19 = 2*A002110(7) + prime(8)^2.

%t Table[SelectFirst[Range[120] Product[Prime@ i, {i, n}] + Prime[n + 1]^2, PrimeQ], {n, 17}] (* _Michael De Vlieger_, Aug 16 2017 *)

%Y Cf. A002110.

%K nonn

%O 1,1

%A _Labos Elemer_, Apr 25 2000

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Last modified August 11 08:53 EDT 2024. Contains 375059 sequences. (Running on oeis4.)