What is the 5241st prime number?
The 5241st prime number is 51217. The next prime is 51229 (a gap of 12) and the one before is 51203.
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 5241st one is 51217.
- 2
51217 is prime because no prime up to ā51217 ā 226.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5241st prime is close to 5241 Ć ln(5241) ā 44885, and here it is 51217.
- 4
51217 has no twin: neither 51215 nor 51219 is prime.
Primes around the 5241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
Questions
What is the 5241st prime number?
51217.
Which prime number is 51217?
51217 is the 5241st prime number.
What is the sum of the first 5241 primes?
126,477,694.