Primary Product (Posted on 2003-06-02)

	Submitted by Ravi Raja
Rating: 2.7778 (9 votes)
Solution:	(Hide)
We know that the numbers: x1, x2, x3, x4, x5, x6,........ are said to be in Arithmetic Progression if (x2 - x1) = (x3 - x2) = (x4 - x3) = (x5 - x4) = ........ and so on. So, if the product of three numbers in Arithmetic Progression is a prime, then it is obvious that two of the numbers have to be (-1) and (+1) and the third number has to be negative and at the same time must satisfy the condition that the three numbers are in Arithmetic Progresion. Thus we can now easily find out that the third number is none other than (-3) and the product of these three integers: (-3), (-1) and (1) is a prime whose value is 3.

	Subject	Author	Date
	Full Solution	K Sengupta	2021-12-16 23:13:15
	What is Prime? Prime Numbers vs Prime Elements	Dej Mar	2006-07-24 15:02:22
	Solution	Lawrence	2003-08-24 18:41:08
	maybe not too easy?	mark hartman	2003-06-10 18:15:14
	re(3): One and Only	Gamer	2003-06-03 12:41:33
	re(2): One and Only	Sanjay	2003-06-03 09:50:36
	re: One and Only	Charlie	2003-06-03 08:48:16
	One and Only	Sanjay	2003-06-03 07:00:49
	re(2): Easy ...	Sanjay	2003-06-03 06:54:13
	re: Easy ...	Gamer	2003-06-03 02:11:11
	re: EASY!	Alpha Tiger	2003-06-02 20:47:14
	Easy ...	Alpha Tiger	2003-06-02 20:44:58
	re: perhaps	TomM	2003-06-02 16:17:57
	EASY!	Tim Axoy	2003-06-02 14:51:54
	Off the top of my head...	Brian Smith	2003-06-02 13:41:36
	re: perhaps	DJ	2003-06-02 11:41:39
	perhaps	Alan	2003-06-02 10:29:31
	re(3): Umm	DJ	2003-06-02 10:13:16
	Oops!	Gamer	2003-06-02 09:54:40
	re(3): Umm	Charlie	2003-06-02 09:30:37
	re(2): Umm	Gamer	2003-06-02 09:24:20
	re(3): Umm	Charlie	2003-06-02 09:24:15
	re(2): Umm	Charlie	2003-06-02 09:22:32
	re(2): Umm	DJ	2003-06-02 09:19:37
	re: Umm	Bryan	2003-06-02 08:30:10
	Umm	DJ	2003-06-02 08:27:03