What is the 6169th prime number?
The 6169th prime number is 61331. The next prime is 61333 (a gap of 2) and the one before is 61297.
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 6169th one is 61331.
- 2
61331 is prime because no prime up to ā61331 ā 247.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6169th prime is close to 6169 Ć ln(6169) ā 53839, and here it is 61331.
- 4
61331 is a twin prime: 61331 and 61333 are both prime.
Primes around the 6169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6166 | 61283 | 22 |
| 6167 | 61291 | 8 |
| 6168 | 61297 | 6 |
| 6169 | 61331 | 34 |
| 6170 | 61333 | 2 |
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
Questions
What is the 6169th prime number?
61331.
Which prime number is 61331?
61331 is the 6169th prime number.
What is the sum of the first 6169 primes?
178,640,148.