Mint Numographs

Mint a Numograph. Its number is randomly drawn from the field.

Mint price 0.001 ETH Per mint, plus gas.
Draw Weighted Across digit lengths.
Field uint64 1 to 18.4 quintillion.

Mint 1-10 per transaction. Each wallet has 10 credits; one returns every minute.

Note: MetaMask or another wallet may show simulated numbers before confirmation. These are previews only, not the Numographs you will receive. Your actual number or numbers are randomly selected when the transaction confirms.

How the Draw Works

Choose a quantity.

Mint 1-10 Numographs in one transaction.

Receive a random number.

Each Numograph receives one available number, randomly selected across the weighted digit-length ranges when the transaction confirms.

Discover its Numograph.

Its portrait and animation are generated, and its mathematical traits are calculated, entirely onchain from the number itself.

Draw Distribution

The mint is draw-only, not choose-your-own, and not one flat random pick across the whole uint64 field. A flat random pick would send nearly every draw to the largest digit lengths.

The Field Curve is the fixed weighting: each draw selects one of 20 digit lengths, then selects one available number in that bucket.

The curve emphasizes the lower end of the field while keeping every digit length available. Once a digit length is depleted, its draw weight moves forward to the next available digit length.

The rule is a pure onchain function of availability state. The odds cannot be adjusted by an administrator.

1 digit0.025% / 1 in 4,000
2 digits0.25% / 1 in 400
3 digits2.5% / 1 in 40
4 digits21% / 1 in 4.8
5 digits18.5% / 1 in 5.4
6 digits14.5% / 1 in 6.9
7 digits11% / 1 in 9.1
8 digits8.5% / 1 in 11.8
9 digits6.5% / 1 in 15.4
10 digits5% / 1 in 20
11 digits3.5% / 1 in 28.6
12 digits2.75% / 1 in 36.4
13 digits2% / 1 in 50
14 digits1.5% / 1 in 66.7
15 digits1% / 1 in 100
16 digits0.75% / 1 in 133.3
17 digits0.4% / 1 in 250
18 digits0.2% / 1 in 500
19 digits0.1% / 1 in 1,000
20 digits0.025% / 1 in 4,000

These are the starting odds for each digit-length category. The contract tracks availability as numbers are drawn.

Rarity Across the Number Field

These figures describe how frequently each mathematical property occurs across the full uint64 field, before Field Curve weighting. They describe the numbers themselves, not current draw odds, frequency among minted Numographs, or what any Numograph should mean or be worth. Properties can overlap.

Any mathematical Propertyabout 1 in 6
Happyabout 1 in 8.5
Harshadabout 1 in 36
Primeabout 1 in 43-44
Twin Primeabout 1 in 700
Moranabout 1 in 1,000
Emirpabout 1 in 1,400
Palindromeabout 1 in 1.56 billion
Binary Palindromeabout 1 in 2.15 billion
Hex Palindromeabout 1 in 2.15 billion
Triangularabout 1 in 3.04 billion
Squareabout 1 in 4.29 billion
Strobogrammaticabout 1 in 2.02 trillion
Pandigitalabout 1 in 5.65 trillion
Cubeabout 1 in 6.98 trillion
Binary Digitsabout 1 in 17.6 trillion
Undulatingabout 1 in 13.3 quadrillion
Kaprekarabout 1 in 25.8 quadrillion
Hex Repdigitabout 1 in 82 quadrillion
Highly Compositeabout 1 in 109 quadrillion
Monodigitabout 1 in 113 quadrillion
Lucasabout 1 in 198 quadrillion
Fibonacciabout 1 in 201 quadrillion
Sequentialabout 1 in 228 quadrillion
Power of Twoabout 1 in 288 quadrillion
Bit Limitabout 1 in 288 quadrillion
Narcissisticabout 1 in 369 quadrillion
Automorphicabout 1 in 527 quadrillion
Power of Tenabout 1 in 922 quadrillion
Factorialabout 1 in 922 quadrillion
Repunitabout 1 in 922 quadrillion
Mersenne Primeabout 1 in 2.05 quintillion
Perfectabout 1 in 2.31 quintillion
Power of 256about 1 in 2.31 quintillion
Fermat Numberabout 1 in 3.07 quintillion

Draw frequency varies by digit length and changes as digit buckets are depleted.

Mint & Project Notes

Numographs is an onchain art project, not an investment or a promise of financial return, resale value, or future utility.

Each mint is a random draw, not the purchase of a chosen number. Your Numograph is assigned when the transaction confirms. Confirmed Ethereum transactions cannot generally be cancelled or reversed, and you are responsible for your wallet and network gas.

Each wallet has 10 draw credits, with one restored per minute. Splitting transactions does not reset the allowance, and the contract accepts at most 10 successful draws in any Ethereum block. These limits preserve gas-efficient batching while slowing repeated draws from one wallet.

The verified contract and confirmed Ethereum record are authoritative. A narrowly limited guardian may pause or resume new draws for security, but cannot change minted Numographs, their artwork or metadata, the price, distribution, transfers, payee, or withdrawals. That authority can be permanently renounced.

The canonical portrait artwork is released under CC0 1.0. Owning a Numograph records ownership of the authentic token and its provenance; it does not create exclusive rights to the portrait. The Numographs name and logo are not included.

Ethereum, wallets, marketplaces, browsers, and other services operate independently and may change or fail. The site requires no account or advertising tracker; wallet addresses and transactions remain public on Ethereum, and the site host may retain ordinary technical logs.