What is the 4369th prime number?
The 4369th prime number is 41777. The next prime is 41801 (a gap of 24) and the one before is 41771.
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 4369th one is 41777.
- 2
41777 is prime because no prime up to ā41777 ā 204.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4369th prime is close to 4369 Ć ln(4369) ā 36622, and here it is 41777.
- 4
41777 has no twin: neither 41775 nor 41779 is prime.
Primes around the 4369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4366 | 41759 | 22 |
| 4367 | 41761 | 2 |
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
Questions
What is the 4369th prime number?
41777.
Which prime number is 41777?
41777 is the 4369th prime number.
What is the sum of the first 4369 primes?
85,963,602.