What is the 5244th prime number?
The 5244th prime number is 51241. The next prime is 51257 (a gap of 16) and the one before is 51239.
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 5244th one is 51241.
- 2
51241 is prime because no prime up to ā51241 ā 226.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5244th prime is close to 5244 Ć ln(5244) ā 44914, and here it is 51241.
- 4
51241 is a twin prime: 51239 and 51241 are both prime.
Primes around the 5244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
| 5247 | 51283 | 20 |
Questions
What is the 5244th prime number?
51241.
Which prime number is 51241?
51241 is the 5244th prime number.
What is the sum of the first 5244 primes?
126,631,403.