What is the 4170th prime number?
The 4170th prime number is 39667. The next prime is 39671 (a gap of 4) and the one before is 39659.
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 4170th one is 39667.
- 2
39667 is prime because no prime up to ā39667 ā 199.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4170th prime is close to 4170 Ć ln(4170) ā 34760, and here it is 39667.
- 4
39667 has no twin: neither 39665 nor 39669 is prime.
Primes around the 4170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
| 4173 | 39703 | 24 |
Questions
What is the 4170th prime number?
39667.
Which prime number is 39667?
39667 is the 4170th prime number.
What is the sum of the first 4170 primes?
77,856,195.