What is the 4070th prime number?
The 4070th prime number is 38639. The next prime is 38651 (a gap of 12) and the one before is 38629.
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 4070th one is 38639.
- 2
38639 is prime because no prime up to ā38639 ā 196.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4070th prime is close to 4070 Ć ln(4070) ā 33827, and here it is 38639.
- 4
38639 has no twin: neither 38637 nor 38641 is prime.
Primes around the 4070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
| 4070 | 38639 | 10 |
| 4071 | 38651 | 12 |
| 4072 | 38653 | 2 |
| 4073 | 38669 | 16 |
Questions
What is the 4070th prime number?
38639.
Which prime number is 38639?
38639 is the 4070th prime number.
What is the sum of the first 4070 primes?
73,942,929.