What is the 4174th prime number?
The 4174th prime number is 39709. The next prime is 39719 (a gap of 10) and the one before is 39703.
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 4174th one is 39709.
- 2
39709 is prime because no prime up to ā39709 ā 199.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4174th prime is close to 4174 Ć ln(4174) ā 34797, and here it is 39709.
- 4
39709 has no twin: neither 39707 nor 39711 is prime.
Primes around the 4174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
| 4173 | 39703 | 24 |
| 4174 | 39709 | 6 |
| 4175 | 39719 | 10 |
| 4176 | 39727 | 8 |
| 4177 | 39733 | 6 |
Questions
What is the 4174th prime number?
39709.
Which prime number is 39709?
39709 is the 4174th prime number.
What is the sum of the first 4174 primes?
78,014,957.