What is the 5223rd prime number?
The 5223rd prime number is 51001. The next prime is 51031 (a gap of 30) and the one before is 50993.
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 5223rd one is 51001.
- 2
51001 is prime because no prime up to ā51001 ā 225.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5223rd prime is close to 5223 Ć ln(5223) ā 44713, and here it is 51001.
- 4
51001 has no twin: neither 50999 nor 51003 is prime.
Primes around the 5223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5220 | 50971 | 2 |
| 5221 | 50989 | 18 |
| 5222 | 50993 | 4 |
| 5223 | 51001 | 8 |
| 5224 | 51031 | 30 |
| 5225 | 51043 | 12 |
| 5226 | 51047 | 4 |
Questions
What is the 5223rd prime number?
51001.
Which prime number is 51001?
51001 is the 5223rd prime number.
What is the sum of the first 5223 primes?
125,557,386.