What is the 4080th prime number?
The 4080th prime number is 38713. The next prime is 38723 (a gap of 10) and the one before is 38711.
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 4080th one is 38713.
- 2
38713 is prime because no prime up to ā38713 ā 196.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4080th prime is close to 4080 Ć ln(4080) ā 33921, and here it is 38713.
- 4
38713 is a twin prime: 38711 and 38713 are both prime.
Primes around the 4080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
Questions
What is the 4080th prime number?
38713.
Which prime number is 38713?
38713 is the 4080th prime number.
What is the sum of the first 4080 primes?
74,329,773.