What is the 4372nd prime number?
The 4372nd prime number is 41813. The next prime is 41843 (a gap of 30) and the one before is 41809.
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 4372nd one is 41813.
- 2
41813 is prime because no prime up to ā41813 ā 204.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4372nd prime is close to 4372 Ć ln(4372) ā 36650, and here it is 41813.
- 4
41813 has no twin: neither 41811 nor 41815 is prime.
Primes around the 4372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
| 4375 | 41851 | 2 |
Questions
What is the 4372nd prime number?
41813.
Which prime number is 41813?
41813 is the 4372nd prime number.
What is the sum of the first 4372 primes?
86,089,025.