What is the 5033rd prime number?
The 5033rd prime number is 48973. The next prime is 48989 (a gap of 16) and the one before is 48953.
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 5033rd one is 48973.
- 2
48973 is prime because no prime up to ā48973 ā 221.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5033rd prime is close to 5033 Ć ln(5033) ā 42900, and here it is 48973.
- 4
48973 has no twin: neither 48971 nor 48975 is prime.
Primes around the 5033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
Questions
What is the 5033rd prime number?
48973.
Which prime number is 48973?
48973 is the 5033rd prime number.
What is the sum of the first 5033 primes?
116,065,258.