What is the 4274th prime number?
The 4274th prime number is 40823. The next prime is 40829 (a gap of 6) and the one before is 40819.
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 4274th one is 40823.
- 2
40823 is prime because no prime up to ā40823 ā 202.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4274th prime is close to 4274 Ć ln(4274) ā 35732, and here it is 40823.
- 4
40823 has no twin: neither 40821 nor 40825 is prime.
Primes around the 4274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
Questions
What is the 4274th prime number?
40823.
Which prime number is 40823?
40823 is the 4274th prime number.
What is the sum of the first 4274 primes?
82,039,921.