What is the 4078th prime number?
The 4078th prime number is 38707. The next prime is 38711 (a gap of 4) and the one before is 38699.
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 4078th one is 38707.
- 2
38707 is prime because no prime up to ā38707 ā 196.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4078th prime is close to 4078 Ć ln(4078) ā 33902, and here it is 38707.
- 4
38707 has no twin: neither 38705 nor 38709 is prime.
Primes around the 4078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
Questions
What is the 4078th prime number?
38707.
Which prime number is 38707?
38707 is the 4078th prime number.
What is the sum of the first 4078 primes?
74,252,349.