What is the 3769th prime number?
The 3769th prime number is 35393. The next prime is 35401 (a gap of 8) and the one before is 35381.
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 3769th one is 35393.
- 2
35393 is prime because no prime up to ā35393 ā 188.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3769th prime is close to 3769 Ć ln(3769) ā 31036, and here it is 35393.
- 4
35393 has no twin: neither 35391 nor 35395 is prime.
Primes around the 3769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3766 | 35353 | 14 |
| 3767 | 35363 | 10 |
| 3768 | 35381 | 18 |
| 3769 | 35393 | 12 |
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
Questions
What is the 3769th prime number?
35393.
Which prime number is 35393?
35393 is the 3769th prime number.
What is the sum of the first 3769 primes?
62,807,366.