What is the 4179th prime number?
The 4179th prime number is 39761. The next prime is 39769 (a gap of 8) and the one before is 39749.
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 4179th one is 39761.
- 2
39761 is prime because no prime up to ā39761 ā 199.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4179th prime is close to 4179 Ć ln(4179) ā 34844, and here it is 39761.
- 4
39761 has no twin: neither 39759 nor 39763 is prime.
Primes around the 4179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4176 | 39727 | 8 |
| 4177 | 39733 | 6 |
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
| 4181 | 39779 | 10 |
| 4182 | 39791 | 12 |
Questions
What is the 4179th prime number?
39761.
Which prime number is 39761?
39761 is the 4179th prime number.
What is the sum of the first 4179 primes?
78,213,646.