What is the 5429th prime number?
The 5429th prime number is 53201. The next prime is 53231 (a gap of 30) and the one before is 53197.
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 5429th one is 53201.
- 2
53201 is prime because no prime up to ā53201 ā 230.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5429th prime is close to 5429 Ć ln(5429) ā 46687, and here it is 53201.
- 4
53201 has no twin: neither 53199 nor 53203 is prime.
Primes around the 5429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
Questions
What is the 5429th prime number?
53201.
Which prime number is 53201?
53201 is the 5429th prime number.
What is the sum of the first 5429 primes?
136,292,120.