An infinite series of integers follows the following rule:
$a_{n+1}=2a_n +1$
Is there any $a_0$ for which every term of the series will be a prime number?
Search found 5 matches
- Wed Jun 02, 2021 8:35 am
- Forum: Number Theory
- Topic: Cool modular arithmetic prob
- Replies: 3
- Views: 14667
- Mon Oct 26, 2020 6:42 pm
- Forum: Combinatorics
- Topic: Combi Prob
- Replies: 1
- Views: 5437
Combi Prob
Can you show that given any 52 integers,there exists 2 of them whose sum or,otherwise difference, is divisible by 100
Is it true with 51 integers?Why?
(Copied and collected)
Is it true with 51 integers?Why?
(Copied and collected)
- Fri Sep 11, 2020 2:04 pm
- Forum: Number Theory
- Topic: IMO Problem
- Replies: 0
- Views: 6274
IMO Problem
Find all 3 digit natural numbers N which is:
1)Divisible by 11
2)N/11 = Sum of the digit's square
1)Divisible by 11
2)N/11 = Sum of the digit's square
- Wed Sep 09, 2020 6:32 pm
- Forum: Number Theory
- Topic: I need help.(about gcd and lcm)
- Replies: 0
- Views: 6302
I need help.(about gcd and lcm)
Prove that:
Gcd(a,b,c)/gcd(a,b)gcd(a,c)gcd(b,c)=lcm(a,b,c)/lcm(a,b)lcm(a,c)lcm(b,c)
Gcd(a,b,c)/gcd(a,b)gcd(a,c)gcd(b,c)=lcm(a,b,c)/lcm(a,b)lcm(a,c)lcm(b,c)
- Fri Aug 28, 2020 1:49 pm
- Forum: Test Forum
- Topic: পরীক্ষামূলক পোস্ট
- Replies: 2
- Views: 6723
পরীক্ষামূলক পোস্ট
পরীক্ষা করে দেখছি এখানে ঠিকমতো লিখতে পারি কি না।