What is the 4172nd prime number?
The 4172nd prime number is 39679. The next prime is 39703 (a gap of 24) and the one before is 39671.
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 4172nd one is 39679.
- 2
39679 is prime because no prime up to ā39679 ā 199.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4172nd prime is close to 4172 Ć ln(4172) ā 34778, and here it is 39679.
- 4
39679 has no twin: neither 39677 nor 39681 is prime.
Primes around the 4172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
| 4173 | 39703 | 24 |
| 4174 | 39709 | 6 |
| 4175 | 39719 | 10 |
Questions
What is the 4172nd prime number?
39679.
Which prime number is 39679?
39679 is the 4172nd prime number.
What is the sum of the first 4172 primes?
77,935,545.