What is the 4180th prime number?
The 4180th prime number is 39769. The next prime is 39779 (a gap of 10) and the one before is 39761.
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 4180th one is 39769.
- 2
39769 is prime because no prime up to ā39769 ā 199.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4180th prime is close to 4180 Ć ln(4180) ā 34853, and here it is 39769.
- 4
39769 has no twin: neither 39767 nor 39771 is prime.
Primes around the 4180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4177 | 39733 | 6 |
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
| 4181 | 39779 | 10 |
| 4182 | 39791 | 12 |
| 4183 | 39799 | 8 |
Questions
What is the 4180th prime number?
39769.
Which prime number is 39769?
39769 is the 4180th prime number.
What is the sum of the first 4180 primes?
78,253,415.