What is the 4075th prime number?
The 4075th prime number is 38677. The next prime is 38693 (a gap of 16) and the one before is 38671.
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 4075th one is 38677.
- 2
38677 is prime because no prime up to ā38677 ā 196.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4075th prime is close to 4075 Ć ln(4075) ā 33874, and here it is 38677.
- 4
38677 has no twin: neither 38675 nor 38679 is prime.
Primes around the 4075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4072 | 38653 | 2 |
| 4073 | 38669 | 16 |
| 4074 | 38671 | 2 |
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
| 4078 | 38707 | 8 |
Questions
What is the 4075th prime number?
38677.
Which prime number is 38677?
38677 is the 4075th prime number.
What is the sum of the first 4075 primes?
74,136,250.