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Prime sequence (Posted on 2003-10-23)

What is the lowest arithmetic sequence of positive prime integers that has 3 terms? 5 terms? 8 terms?

What is the constant difference for the lowest N positive prime integers in arithmetic sequence?

What would the first term be for such a sequence?

(A prime sequence is "lowest" if the average of its terms is the lowest. If any are tied then it is the one with the smallest starting term.)

Submitted by Gamer

Rating: 4.5000 (2 votes)

Solution: (Hide)

If you don't include 3, 5, or 8 in the sequences:

For the first part:
5,11,17
11,71,131,191,251
199, 409, 619, 829, 1039, 1249, 1459, 1669

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
answer to the three and other number of terms	Dej Mar	2013-03-22 09:43:43
Answers	Math Man	2013-03-21 18:38:39
re: Partial solution	JayDeeKay	2007-05-16 17:40:06
Partial solution	K Sengupta	2007-04-20 15:04:22
re: Solution to 2 extra parts...	Gamer	2003-12-08 22:18:43
Solution to 2 extra parts...	ronen	2003-12-08 15:05:05
A forgotten part	Gamer	2003-10-25 09:03:46
The last two parts	Gamer	2003-10-23 19:43:52
More brute force	Brian Wainscott	2003-10-23 14:46:58
re: 22 terms	Charlie	2003-10-23 14:45:16
re: remaining 1/3 of the solution	SilverKnight	2003-10-23 13:08:00
22 terms	Brian Smith	2003-10-23 10:55:45
remaining 1/3 of the solution	SilverKnight	2003-10-23 09:24:34
2/3 of a solution	SilverKnight	2003-10-23 09:16:37

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