#define _CRT_SECURE_NO_WARNINGS

#include <iostream> 
#include <iomanip> 
#include <algorithm> 
#include <string> 
#include <queue> 
#include <stack> 
#include <cstring> 
#include <ctime> 
#include <cstdio>

using namespace std; 

bool prime[33005] = {};
int pr[4096];
int kol = 0;

void gen() {
	prime[1] = 1;
	for (int i=2; i<33000; i++) {
		if (!prime[i])
			pr[kol++] = i;
		else
			continue;

		for (int j=i*i; j<33000; j+=i)
			prime[j] = true;
	}
}

int euler[400010];
int total[400010];

char str[] = "25uIZD 6f\"bF; asL0f; eRk>@< kF(7TG oNOXt$ s#9ckk w}.A?6 W0y}wq Ya_zb+ PnC'u[ Fyo+5G KO{e12 CZS#qo M,dz76 '*$WHq !\"E9$, ^63D9k )j[BLw {tsFo= ~R~6AT +GK17s 12MjMCo 16#*p|N 1a{OmnV 1f15B^q 1lb,Q<U 1poyM~X 1ty?;SD 1xPCYqk 1WXn^Ga 1Y,-q{2 1P(AEvN 1F?e)+; 1L6.!2` 1VhWka6 1[u4x!{ 1,TVERe 1@Ht3~) 1^M>k{u 1)$F.2Q 1{/f9<, 1\"1*HVT 1_cT4o, 23p6.{< 27z,+H< 2bAs)VO 2fX?@M? 2l.Ccw{ 2p)kM}E 2t?-aam 2y7SHvV 2Ek804X 2Uu.0XL 2AYY-\"2 2GH?-e4 2L[VvBA 2V%uk3a 2[/)\"%~ 2.2He`= 2#djD=^ 2&p#j** 2-QRZ{+ 2/S7h'D 2\"C[Z^V 2_`t&ny 33)|zLo 37|F1?* 3c8mX3y 3jk)`w2 3mvT_Uq 3qUdt?U 3uJ!~94 3y]tbva 3E^0kVu 3U<[YGX 3S3j]}[ 3Hd/.pk 3ZqJaqN 3BW6N;c 3]S^A^s 3.VTQ_$ 3#!1MF< 3&-[0lA 3-+x$6o 3<8}P'y 3?lGTBT 40wo~=G 44U!U_< 48KP4!= 4c;a*M{ 4j^MpK6 4m>yBt8 4r42)1= 4veJt;G 4zrl-F6 4RW~_o< 4IDRI=w 4SBel{; 4H!&o]6 4Z=u2Zu 4B_489` 4;9]+;a 4`mndEA 4$w>cfX 4*IZ\"c6 4=LbU]{ 4<;^8eq 4?&A0h@ 50>+!|< 554'<<L 59fQyQw 5dr<P-Q 5hEV{|6 5nFnN4X 5rB&jha 5v@Op9e 5z}h=@8 5R_NA'< 5OaW`1Q 5Dn5$Vu 5JxJfWX 5XOtMB[ 5NL>0Sy 5;'SQVL 5`*bcP^ 5$~}93q 5(5Q>`N 5}f_Xb{ 5>s@AX* 5|Rn@4A 61F?7|c 65NM=kQ 69#ajl4 6d}-oHA 6k0D4zs 6ob3Br+ 6sn`lNQ 6wyUhk< 6QO/F+y 6TZV@=< 6O,u>,^ 6D*$MH2 6J\"HdzQ 6C6fe[, 6Mj,Jy< 6'tTOh0 6!T73JL 6%GBLWA 6(MsG7w 6}$2x3c 6>{Rj=e 6+1nR^A 72b}#7V 76ozH6= 7az87W~ 7eP^n~m 7kXlSBE 7o,+eCo 7s(#ZBk 7w?8(q$ 7W6}&dw 7YhJ+vN 7Pu5!98 7FT`[2m 7KHUXmO 7CM|?vQ 7M$Vx+, 7'/xud$ 7@1-$s; 7^cJ+/c 7)pr7vT 7{zMW'+ 7~APXK4 7+CaUcA 82.Zj\"O 86)Y0!L 8a?|uO^ 8f7AJ0L 8lkme$V 8pu?oVs 8tYQJ$A 8xJbN5s 8W[-_V= 8Y%lfH` 8P<3hM, 8G2;hwj 8Ldl)#D 8Vp=1r+ 8[QMNuG 8,S6UEV 8@C@Qmm 8^`ZhNJ 8)){-a[ 8{|;(Hq 8\"8WU$o 8_k#=UN 93vN]ZL 97Uv[p[ 9bJML}L 9f]DlIc 9l^l|`y 9p<J2ay 9u3Te8= 9yec72j 9EqT&8E 9UWs],~ 9AS~#;< 9GVEE?) 9L!j%/^ 9V-}KCE 9[+w|a, 9.8\"C`T 9#l%[}4 9&whxp^ 9-U+.7G 9/KLjLa 9\";8J=a 9_^/wEV a3>SY#` a83\"+c` ace`*Xw ajrRp<< amW)j/m aqDN[V@ auBy6E4 ay!.v^{ aE=H4B~ aU_hFVJ aS9]9=y aHmy]#c aZxd67a aBIJhx` a]LnUu0 a.'6',4 a#&y@%8 a&~r%AV a=4(tT= a<fsnY, a?shIEs b0E@7uU b4Fm6J[ b8B=-WX bc@#W<$ bj}855Q bm_-WM6 braJ>f8 bvm+#T+ bzx^js? bROO6sQ bIL/W]; bS'K){@ bH*Y4{o bZ~&q&0 bN5Sv!T b;jyB!^ b`sS4D* b$RPq[~ b*G"
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2AB-Rwe, 2A;4dfcj 2A`e5KAk 2A$n?eJj 2A*Q,,ou 2A=DDlr$ 2A<L_@C* 2A?!feKU 2S0=PQw@ 2S4>]\"@X 2S9ap>yy 2Sdk-JTD 2ShtM;h+ 2SnIs'aj 2SrL?/2o 2SvNp<tO 2Sz#>XhL 2SR|w$,^ 2SI_RG{A 2SDd/=#0 2SJtQ_%4 2SXx061c 2SNDf]W6 2S;N5XE~ 2S``5bOT 2S$-wUw= 2S*+|;,$ 2S}8w%j{ 2S>kQ43k 2S|z2tS; 2D1EUDO* 2D5K?R*G 2D9,fbK? 2Dd#HOp` 2Dh~IuM` 2Do5Ije* 2DscPB<c 2DwpMOKJ 2DQIb^.0 2DTI($O+ 2DOVz3^` 2DD^WBL+ 2DJ&eXvD 2DX_<huL 2DMb])'[ 2D'hqGCm 2D!xZ57) 2D%P`v/V 2D(H!KK, 2D};Uu6N 2D>(959w 2D|/re]L 2F25]MVc 2F6j`Z>* 2Fao>DNs 2FeRh`+q 2FkG63y8 2FoB1=M= 2Fs@v]fo 2Fw/D#U^ 2FQ\"/cZT 2FYbak1` 2FPpB~*J 2FFt.~o6 2FKP4WLX 2FCZ\"R]0 2FM[>B)@ 2F'&#Ife 2F!+3]\"+ 2F^3r|]{ 2F)f`^@O 2F{u)NPe 2F~y)>do 2F+H1en8 2G2[d\"!) 2G6`@kbO 2Ga/lT[A 2Gf1>9?G 2Gl7ya|O 2GpoU#fc 2GtEfPY6 2GxRtx+e 2GWCa1|8 2GY!e;sc 2GP#(kF* 2GF|e|{X 2GL7juB< 2GVfkh0U 2G[t3Rb) 2G,U]Pc) 2G@F[ch0";
long long million[5010];

int eulerPhi (int n) {
	int result = n;
	for (int i=2; i*i<=n; ++i)
		if (n % i == 0) {
			while (n % i == 0)
				n /= i;
			result -= result / i;
		}
	if (n > 1)
		result -= result / n;
	return result;
}

long long gen2(int l, int r) {
	
	long long sum = 0;
	if (l<=33000) {
		for (int i=l; i <= min(33000, r); i++) {
			sum += eulerPhi(i);
			//printf("%d %d\n", i, eulerPhi(i));
		}

		l = 33001;
	}

	if (l>r)
		return sum;

	int lim = r-l;
	for (int i=0; i<=lim; ++i)
		euler[i] = 1;
	for (int i=0; i<=lim; ++i)
		total[i] = i+l;

	for (int i=0; i<=lim; i++) {
		if ((total[i] & 1) == 0) {
			total[i] >>= 1;
		}
		while ((total[i] & 1) == 0) {
			total[i] >>= 1;
			euler[i] <<= 1;
		}
	}

	for (int i=1; pr[i] * pr[i] <= r; ++i) {
		for (int j = pr[i]-1-(l+pr[i]-1) % pr[i]; j<=r-l; j+=pr[i]) {
			euler[j] *= pr[i] - 1;
			total[j] /= pr[i];

			//if (pr[i] == 2) {
			//	while ((total[j] & 3) == 0) {
			//		total[j] >>= 2;
			//		euler[j] <<= 2;
			//	}
			//}

			int div = total[j] / pr[i];
			while (total[j] == div * pr[i]) {
				total[j] = div;
				euler[j] *= pr[i];
				div = total[j] / pr[i];
			}
		}
	}

	for (int i=0; i<=r-l; i++) {
		if (total[i] != 1) {
			euler[i] *= total[i] - 1;
		}

		sum += euler[i];
		//printf("%d %d\n", l+i, euler[i]);
	}

	return sum;
}

const int lim = 200000;
long long sumPhi(int lim) {
	// phi(3) + phi(4) + ... + phi(lim);
	long long sum = 0;
	for (int mil = 200000; mil <= lim; mil += 200000)
		sum += million[mil / 200000]; // starting from 1

	sum += gen2(lim / 200000 * 200000 + 1, lim);
	return sum / 2 + 1;
}

string dig = "0123456789abcdefjhklmnopqrstuvwxyzQWERTYUIOPASDFGHJKLZXCVBNM[];',.`!@#$%^&*()-=}{/<>~\"?|+_";

string conv(long long x) {
	const int base = dig.size();
	string ans;
	while (x) {
		ans.push_back(dig[x % base]);
		x /= base;
	}

	reverse(ans.begin(), ans.end());
	return ans;
}

void pregen() {
	freopen("output.txt", "w", stdout);
	int prv = 3;
	for (int i=200000; ; i+=200000) {
		cout << conv(gen2(prv, i)) << " ";
		if (i == 1000000000)
			break;
		prv = i + 1;
	}

	return;
}

void test() {
	for (int i=390625 * 2422; ; i+=390625) {
		clock_t start = clock();

		long long sum = 0;
		for (int u=0; u<100; u++)
			sum = sumPhi(i-1);

		cout << i << ' ' << clock() - start << ' ' << sum << endl;

		if (i == 1000000000)
			break;
	}
}

char ttt[258];

long long parse(char *buf) {
	int len = strlen(buf);
	long long ret = 0;
	for (int i=0; i<len; i++)
		ret = ret * dig.size() + ttt[buf[i]];
	return ret;
}

void parse() {
	for (int i=0; i<dig.size(); i++)
		ttt[dig[i]] = i;

	char buf[20];
	char *str = ::str;
	for (int i = 0; i < 5000; ++i) {
		sscanf(str, "%s", buf);
		str += strlen(buf) + 1;
		million[i + 1] = parse(buf);
	}
}

int main() {
	gen();
	parse();
	//test();
	//return 0;
	//pregen();
	//return 0;

//	freopen("input.txt", "r", stdin);
//	freopen("output.txt", "w", stdout);
	int t; scanf("%d",&t);
	//for (int i=0; i<t; i++) {
	//	int n, m;
	//	scanf("%d %d",&n,&m);
	//	for (int i=0; i<1000001; i++)
	//		euler[i] = 1;
	//	for (int i=n; i<=m; i++)
	//		total[i-n] = i;
	//	gen2(n, m);
	//	printf("\n");
	//}

	for (int e=0; e<t; e++) {
		int n; scanf("%d", &n);
		long long pos = sumPhi(n);
		cout << pos << endl;
	}

//	cout << clock() << endl;
	return 0;
}