What is the 4071st prime number?
The 4071st prime number is 38651. The next prime is 38653 (a gap of 2) and the one before is 38639.
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 4071st one is 38651.
- 2
38651 is prime because no prime up to ā38651 ā 196.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4071st prime is close to 4071 Ć ln(4071) ā 33837, and here it is 38651.
- 4
38651 is a twin prime: 38651 and 38653 are both prime.
Primes around the 4071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
| 4070 | 38639 | 10 |
| 4071 | 38651 | 12 |
| 4072 | 38653 | 2 |
| 4073 | 38669 | 16 |
| 4074 | 38671 | 2 |
Questions
What is the 4071st prime number?
38651.
Which prime number is 38651?
38651 is the 4071st prime number.
What is the sum of the first 4071 primes?
73,981,580.