What is the 3160th prime number?
The 3160th prime number is 29059. The next prime is 29063 (a gap of 4) and the one before is 29033.
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 3160th one is 29059.
- 2
29059 is prime because no prime up to ā29059 ā 170.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3160th prime is close to 3160 Ć ln(3160) ā 25464, and here it is 29059.
- 4
29059 has no twin: neither 29057 nor 29061 is prime.
Primes around the 3160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
Questions
What is the 3160th prime number?
29059.
Which prime number is 29059?
29059 is the 3160th prime number.
What is the sum of the first 3160 primes?
43,167,679.