What is the 4177th prime number?
The 4177th prime number is 39733. The next prime is 39749 (a gap of 16) and the one before is 39727.
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 4177th one is 39733.
- 2
39733 is prime because no prime up to ā39733 ā 199.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4177th prime is close to 4177 Ć ln(4177) ā 34825, and here it is 39733.
- 4
39733 has no twin: neither 39731 nor 39735 is prime.
Primes around the 4177th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4174 | 39709 | 6 |
| 4175 | 39719 | 10 |
| 4176 | 39727 | 8 |
| 4177 | 39733 | 6 |
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
Questions
What is the 4177th prime number?
39733.
Which prime number is 39733?
39733 is the 4177th prime number.
What is the sum of the first 4177 primes?
78,134,136.