What is the 4171st prime number?
The 4171st prime number is 39671. The next prime is 39679 (a gap of 8) and the one before is 39667.
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 4171st one is 39671.
- 2
39671 is prime because no prime up to ā39671 ā 199.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4171st prime is close to 4171 Ć ln(4171) ā 34769, and here it is 39671.
- 4
39671 has no twin: neither 39669 nor 39673 is prime.
Primes around the 4171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
| 4173 | 39703 | 24 |
| 4174 | 39709 | 6 |
Questions
What is the 4171st prime number?
39671.
Which prime number is 39671?
39671 is the 4171st prime number.
What is the sum of the first 4171 primes?
77,895,866.