What is the 4272nd prime number?
The 4272nd prime number is 40813. The next prime is 40819 (a gap of 6) and the one before is 40801.
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 4272nd one is 40813.
- 2
40813 is prime because no prime up to ā40813 ā 202.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4272nd prime is close to 4272 Ć ln(4272) ā 35713, and here it is 40813.
- 4
40813 has no twin: neither 40811 nor 40815 is prime.
Primes around the 4272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
Questions
What is the 4272nd prime number?
40813.
Which prime number is 40813?
40813 is the 4272nd prime number.
What is the sum of the first 4272 primes?
81,958,279.