What is the 3770th prime number?
The 3770th prime number is 35401. The next prime is 35407 (a gap of 6) and the one before is 35393.
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 3770th one is 35401.
- 2
35401 is prime because no prime up to ā35401 ā 188.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3770th prime is close to 3770 Ć ln(3770) ā 31045, and here it is 35401.
- 4
35401 has no twin: neither 35399 nor 35403 is prime.
Primes around the 3770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3767 | 35363 | 10 |
| 3768 | 35381 | 18 |
| 3769 | 35393 | 12 |
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
Questions
What is the 3770th prime number?
35401.
Which prime number is 35401?
35401 is the 3770th prime number.
What is the sum of the first 3770 primes?
62,842,767.