What is the 4077th prime number?
The 4077th prime number is 38699. The next prime is 38707 (a gap of 8) and the one before is 38693.
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 4077th one is 38699.
- 2
38699 is prime because no prime up to ā38699 ā 196.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4077th prime is close to 4077 Ć ln(4077) ā 33893, and here it is 38699.
- 4
38699 has no twin: neither 38697 nor 38701 is prime.
Primes around the 4077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4074 | 38671 | 2 |
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
Questions
What is the 4077th prime number?
38699.
Which prime number is 38699?
38699 is the 4077th prime number.
What is the sum of the first 4077 primes?
74,213,642.