What is the 3870th prime number?
The 3870th prime number is 36497. The next prime is 36523 (a gap of 26) and the one before is 36493.
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 3870th one is 36497.
- 2
36497 is prime because no prime up to ā36497 ā 191.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3870th prime is close to 3870 Ć ln(3870) ā 31970, and here it is 36497.
- 4
36497 has no twin: neither 36495 nor 36499 is prime.
Primes around the 3870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3867 | 36473 | 4 |
| 3868 | 36479 | 6 |
| 3869 | 36493 | 14 |
| 3870 | 36497 | 4 |
| 3871 | 36523 | 26 |
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
Questions
What is the 3870th prime number?
36497.
Which prime number is 36497?
36497 is the 3870th prime number.
What is the sum of the first 3870 primes?
66,438,595.