What is the 3161st prime number?
The 3161st prime number is 29063. The next prime is 29077 (a gap of 14) and the one before is 29059.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3161st one is 29063.
- 2
29063 is prime because no prime up to ā29063 ā 170.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3161st prime is close to 3161 Ć ln(3161) ā 25473, and here it is 29063.
- 4
29063 has no twin: neither 29061 nor 29065 is prime.
Primes around the 3161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
Questions
What is the 3161st prime number?
29063.
Which prime number is 29063?
29063 is the 3161st prime number.
What is the sum of the first 3161 primes?
43,196,742.