What is the 4176th prime number?
The 4176th prime number is 39727. The next prime is 39733 (a gap of 6) and the one before is 39719.
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 4176th one is 39727.
- 2
39727 is prime because no prime up to ā39727 ā 199.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4176th prime is close to 4176 Ć ln(4176) ā 34816, and here it is 39727.
- 4
39727 has no twin: neither 39725 nor 39729 is prime.
Primes around the 4176th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4173 | 39703 | 24 |
| 4174 | 39709 | 6 |
| 4175 | 39719 | 10 |
| 4176 | 39727 | 8 |
| 4177 | 39733 | 6 |
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
Questions
What is the 4176th prime number?
39727.
Which prime number is 39727?
39727 is the 4176th prime number.
What is the sum of the first 4176 primes?
78,094,403.