What is the 3986th prime number?
The 3986th prime number is 37633. The next prime is 37643 (a gap of 10) and the one before is 37619.
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 3986th one is 37633.
- 2
37633 is prime because no prime up to ā37633 ā 193.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3986th prime is close to 3986 Ć ln(3986) ā 33046, and here it is 37633.
- 4
37633 has no twin: neither 37631 nor 37635 is prime.
Primes around the 3986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3983 | 37591 | 2 |
| 3984 | 37607 | 16 |
| 3985 | 37619 | 12 |
| 3986 | 37633 | 14 |
| 3987 | 37643 | 10 |
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
Questions
What is the 3986th prime number?
37633.
Which prime number is 37633?
37633 is the 3986th prime number.
What is the sum of the first 3986 primes?
70,738,761.