What is the 3867th prime number?
The 3867th prime number is 36473. The next prime is 36479 (a gap of 6) and the one before is 36469.
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 3867th one is 36473.
- 2
36473 is prime because no prime up to ā36473 ā 190.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3867th prime is close to 3867 Ć ln(3867) ā 31942, and here it is 36473.
- 4
36473 has no twin: neither 36471 nor 36475 is prime.
Primes around the 3867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3864 | 36457 | 6 |
| 3865 | 36467 | 10 |
| 3866 | 36469 | 2 |
| 3867 | 36473 | 4 |
| 3868 | 36479 | 6 |
| 3869 | 36493 | 14 |
| 3870 | 36497 | 4 |
Questions
What is the 3867th prime number?
36473.
Which prime number is 36473?
36473 is the 3867th prime number.
What is the sum of the first 3867 primes?
66,329,126.