A378097 Products of 6 distinct primes that are sandwiched between twin prime numbers.

43890, 51870, 84630, 102102, 140070, 149730, 153510, 168630, 224070, 251790, 269178, 281190, 308490, 316470, 317730, 322770, 355110, 376530, 381990, 383838, 389298, 404430, 432390, 434010, 459030, 467670, 486330, 487830, 496230, 506730, 520410, 531570, 545790, 552090, 560490, 573342, 576030, 583338

Offset: 1

Author

Massimo Kofler, Nov 16 2024

Keywords

• nonn

Comments

All the terms are divisible by 6.

Examples

			43890 is in the sequence a term because 43890=2*3*5*7*11*19 is the product of six distinct primes and 43889, 43891 are a couple of twin primes.
51870 is in the sequence a term because 51870=2*3*5*7*13*19 is the product of six distinct primes and 51869, 51871 are a couple of twin primes.
		

Crossrefs

Intersection of A014574 and A067885.

Cf. A083207 (supersequence), A353022, A376380.

Programs

Mathematica

Select[6 * Range[10^5], PrimeQ[#-1] && PrimeQ[#+1] && FactorInteger[#][[;;, 2]] == {1,1,1,1,1,1} &] (* Amiram Eldar, Nov 16 2024 *)