A382133 Products of 4 distinct primes that are the average of two consecutive primes.

462, 570, 714, 858, 870, 1190, 1230, 1254, 1290, 1302, 1482, 1590, 1722, 1785, 1806, 1995, 2046, 2130, 2170, 2210, 2470, 2490, 2870, 3030, 3045, 3255, 3390, 3410, 3705, 3774, 3795, 3885, 3930, 4002, 4218, 4242, 4278, 4422, 4510, 4515, 4641, 4785, 4935, 5010, 5110

Offset: 1

Author

Massimo Kofler, Mar 17 2025

Keywords

• nonn

Examples

			462 is a term because 462=2*3*7*11 is the product of four distinct primes and 462 = (461+463)/2.
714 is a term because 714=2*3*7*17 is the product of four distinct primes and 714 = (709+719)/2.
210 is not a term because although 210=2*3*5*7 is the product of four distinct primes 210 != (199 + 211)/2.
		

Crossrefs

Intersection of A024675 and A046386.

Cf. A078443, A130178.

Programs

Mathematica

Select[Range[5200], 2*# == Plus @@ NextPrime[#, {-1, 1}] && FactorInteger[#][[;; , 2]] == {1, 1, 1, 1} &] (* Amiram Eldar, Mar 17 2025 *)