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Harshad number
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=== First runs of exactly {{mvar|n}} consecutive 10-harshad numbers === The smallest naturals starting runs of ''exactly'' {{mvar|n}} consecutive 10-harshad numbers (i.e., the smallest {{mvar|x}} such that <math>x, x+1, \cdots, x+n-1</math> are harshad numbers but <math>x-1</math> and <math>x+n</math> are not) are as follows {{OEIS|id=A060159}}: <div style="overflow:auto"> {{alternating rows table|class=wikitable|style=text-align: right}} |- | {{mvar|n}} || 1 || 2 || 3 || 4 || 5 |- | {{mvar|x}} || 12 || 20 || 110 || 510 || {{val|131052}} |- | {{mvar|n}} || 6 || 7 || 8 || 9 || 10 |- | {{mvar|x}} || {{val|12751220}} || {{val|10000095}} || {{val|2162049150}} || {{val|124324220}} || 1 |- | {{mvar|n}} || 11 || 12 || 13 || 14 || 15 |- | {{mvar|x}} || {{val|920067411130599}} || {{val|43494229746440272890}} || <small>{{val|121003242000074550107423034e20|s= β 10}}</small> || <small>{{val|420142032871116091607294e40|s= β 4}}</small> || {{unknown}} |- | {{mvar|n}} || 16 || 17 || 18 || 19 || 20 |- | {{mvar|x}} || <small>{{val|50757686696033684694106416498959861492e280|s= β 9}}</small> || <small>{{val|14107593985876801556467795907102490773681e280|s= β 10}}</small> || {{unknown}} || {{unknown}} || {{unknown}} |- |}</div> By the previous section, no such {{mvar|x}} exists for <math>n > 20.</math>
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