What is the 3862nd prime number?
The 3862nd prime number is 36433. The next prime is 36451 (a gap of 18) and the one before is 36389.
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 3862nd one is 36433.
- 2
36433 is prime because no prime up to ā36433 ā 190.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3862nd prime is close to 3862 Ć ln(3862) ā 31896, and here it is 36433.
- 4
36433 has no twin: neither 36431 nor 36435 is prime.
Primes around the 3862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3859 | 36373 | 20 |
| 3860 | 36383 | 10 |
| 3861 | 36389 | 6 |
| 3862 | 36433 | 44 |
| 3863 | 36451 | 18 |
| 3864 | 36457 | 6 |
| 3865 | 36467 | 10 |
Questions
What is the 3862nd prime number?
36433.
Which prime number is 36433?
36433 is the 3862nd prime number.
What is the sum of the first 3862 primes?
66,146,809.