id:A082073 - OEIS Search Results

Search: id:A082073

Displaying 1-1 of 1 results found.

page 1

A082073

First difference set of primes with 4k+1 form: A002144.

+0
7

8, 4, 12, 8, 4, 12, 8, 12, 16, 8, 4, 8, 4, 24, 12, 8, 16, 8, 12, 4, 32, 4, 8, 16, 12, 8, 4, 12, 20, 4, 20, 12, 4, 20, 16, 8, 4, 8, 12, 12, 16, 8, 4, 48, 12, 20, 16, 12, 8, 16, 8, 12, 4, 24, 12, 8, 12, 4, 24, 8, 24, 24, 4, 8, 4, 24, 12, 12, 8, 24, 4, 20, 4, 48, 8, 4, 12, 24, 20, 12, 4, 8, 12 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n)=A002144(n+1)-A002144(n)`
	EXAMPLE	`first and second 4k+1 primes are 5 and 13, so a(1)=13-5=8;` `a(n) is divisible by 4.`
	MATHEMATICA	`k=0; m=4; r=1; Do[s=Mod[Prime[n], m]; If[Equal[s, r], rp=ep; k=k+1; ep=Prime[n]; Print[(ep-rp)]; ], {n, 1, 1000}]`
	CROSSREFS	`Cf. A002144, A002145, A082074-A082076.` `Adjacent sequences: A082070 A082071 A082072 this_sequence A082074 A082075 A082076` `Sequence in context: A011225 A011196 A105144 this_sequence A131873 A040059 A018810`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 07 2003`

page 1

Search completed in 0.002 seconds

Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.

AT&T Labs Research