What is the 5221st prime number?
The 5221st prime number is 50989. The next prime is 50993 (a gap of 4) and the one before is 50971.
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 5221st one is 50989.
- 2
50989 is prime because no prime up to ā50989 ā 225.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5221st prime is close to 5221 Ć ln(5221) ā 44694, and here it is 50989.
- 4
50989 has no twin: neither 50987 nor 50991 is prime.
Primes around the 5221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5218 | 50957 | 6 |
| 5219 | 50969 | 12 |
| 5220 | 50971 | 2 |
| 5221 | 50989 | 18 |
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
| 5224 | 51031 | 30 |
Questions
What is the 5221st prime number?
50989.
Which prime number is 50989?
50989 is the 5221st prime number.
What is the sum of the first 5221 primes?
125,455,392.