What is the 3169th prime number?
The 3169th prime number is 29153. The next prime is 29167 (a gap of 14) and the one before is 29147.
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 3169th one is 29153.
- 2
29153 is prime because no prime up to ā29153 ā 170.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3169th prime is close to 3169 Ć ln(3169) ā 25546, and here it is 29153.
- 4
29153 has no twin: neither 29151 nor 29155 is prime.
Primes around the 3169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
Questions
What is the 3169th prime number?
29153.
Which prime number is 29153?
29153 is the 3169th prime number.
What is the sum of the first 3169 primes?
43,429,740.