What is the 5229th prime number?
The 5229th prime number is 51071. The next prime is 51109 (a gap of 38) and the one before is 51061.
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 5229th one is 51071.
- 2
51071 is prime because no prime up to ā51071 ā 225.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5229th prime is close to 5229 Ć ln(5229) ā 44771, and here it is 51071.
- 4
51071 has no twin: neither 51069 nor 51073 is prime.
Primes around the 5229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5226 | 51047 | 4 |
| 5227 | 51059 | 12 |
| 5228 | 51061 | 2 |
| 5229 | 51071 | 10 |
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
Questions
What is the 5229th prime number?
51071.
Which prime number is 51071?
51071 is the 5229th prime number.
What is the sum of the first 5229 primes?
125,863,698.