What is the 4275th prime number?
The 4275th prime number is 40829. The next prime is 40841 (a gap of 12) and the one before is 40823.
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 4275th one is 40829.
- 2
40829 is prime because no prime up to ā40829 ā 202.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4275th prime is close to 4275 Ć ln(4275) ā 35741, and here it is 40829.
- 4
40829 has no twin: neither 40827 nor 40831 is prime.
Primes around the 4275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
Questions
What is the 4275th prime number?
40829.
Which prime number is 40829?
40829 is the 4275th prime number.
What is the sum of the first 4275 primes?
82,080,750.