What is the 4076th prime number?
The 4076th prime number is 38693. The next prime is 38699 (a gap of 6) and the one before is 38677.
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 4076th one is 38693.
- 2
38693 is prime because no prime up to ā38693 ā 196.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4076th prime is close to 4076 Ć ln(4076) ā 33883, and here it is 38693.
- 4
38693 has no twin: neither 38691 nor 38695 is prime.
Primes around the 4076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4073 | 38669 | 16 |
| 4074 | 38671 | 2 |
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
Questions
What is the 4076th prime number?
38693.
Which prime number is 38693?
38693 is the 4076th prime number.
What is the sum of the first 4076 primes?
74,174,943.