What is the 3159th prime number?
The 3159th prime number is 29033. The next prime is 29059 (a gap of 26) and the one before is 29027.
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 3159th one is 29033.
- 2
29033 is prime because no prime up to ā29033 ā 170.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3159th prime is close to 3159 Ć ln(3159) ā 25455, and here it is 29033.
- 4
29033 has no twin: neither 29031 nor 29035 is prime.
Primes around the 3159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
Questions
What is the 3159th prime number?
29033.
Which prime number is 29033?
29033 is the 3159th prime number.
What is the sum of the first 3159 primes?
43,138,620.