What is the 5222nd prime number?
The 5222nd prime number is 50993. The next prime is 51001 (a gap of 8) and the one before is 50989.
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 5222nd one is 50993.
- 2
50993 is prime because no prime up to ā50993 ā 225.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5222nd prime is close to 5222 Ć ln(5222) ā 44704, and here it is 50993.
- 4
50993 has no twin: neither 50991 nor 50995 is prime.
Primes around the 5222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5219 | 50969 | 12 |
| 5220 | 50971 | 2 |
| 5221 | 50989 | 18 |
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
| 5224 | 51031 | 30 |
| 5225 | 51043 | 12 |
Questions
What is the 5222nd prime number?
50993.
Which prime number is 50993?
50993 is the 5222nd prime number.
What is the sum of the first 5222 primes?
125,506,385.